ODE
\[ (a-x) (b-x) (c-x) y'(x) \left (\text {a1}+\text {b1} x+\text {c1} x^2\right )+(a-x)^2 (b-x)^2 (c-x)^2 y''(x)+y(x) \left (\text {a2}+\text {b2} x+\text {c2} x^2\right )=0 \] ODE Classification
[[_2nd_order, _with_linear_symmetries]]
Book solution method
TO DO
Mathematica ✓
cpu = 96.9371 (sec), leaf count = 18649
\[\left \{\left \{y(x)\to (x-a)^{-\frac {-\left ((\text {c1}+1) a^4\right )+(-\text {b1}+b (\text {c1}+2)+c (\text {c1}+2)) a^3+\left (b^2+2 \text {b1} b-2 c b-2 c \text {c1} b+c^2-2 \text {a1}+2 \text {b1} c+\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}\right ) a^2+(2 \text {a1} (b+c)+b c (3 b-2 \text {b1}+3 c)) a-b c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}}{2 (a-b)^2 (a-c)^2}} (x-b)^{-\frac {\text {c1} b^2+b^2-a b+\text {b1} b-c b+\text {a1}+a c+\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}}{2 (a-b) (b-c)}} (x-c)^{-\frac {\text {c1} c^2+c^2-a c-b c+\text {b1} c+\text {a1}+a b+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}}{2 (a-c) (c-b)}} \left (c_2 \text {HeunG}\left [\frac {a-c}{a-b},\frac {2 (b-c) a^5+\left (\left (\text {c1}^2-5\right ) b^2+\text {b1} \text {c1} b+5 c^2-c^2 \text {c1}^2-\text {b1} c \text {c1}-\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right ) a^4+\left (4 b^3+\left (\text {b1} \text {c1}-2 c \left (\text {c1}^2-4\right )\right ) b^2+\left (\text {b1}^2-8 c^2+2 c^2 \text {c1}^2+2 \text {a1} \text {c1}-4 \text {c2}+2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-3 \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right ) b-c \left (\text {b1}^2+c \text {c1} \text {b1}+4 c^2+2 \text {a1} \text {c1}-4 \text {c2}+2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-3 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right )\right ) a^3+\left (-b^4-8 c b^3-3 \text {b1} c \text {c1} b^2-3 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b^2+3 \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b^2+8 c^3 b+3 \text {a1} \text {b1} b-6 \text {b2} b+3 \text {b1} c^2 \text {c1} b-3 c \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))} b+3 c \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b+c^4-3 \text {a1} \text {b1} c+6 \text {b2} c+3 c^2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-3 c^2 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right ) a^2+\left (2 c b^4+4 c^2 b^3+\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b^3-\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b^3-4 c^3 b^2-\text {a1} \text {b1} b^2+2 \text {b2} b^2-\text {b1}^2 c b^2-2 \text {a1} c \text {c1} b^2+4 c \text {c2} b^2+3 c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b^2-3 c \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b^2-2 c^4 b+2 \text {a1}^2 b+\text {b1}^2 c^2 b-8 \text {a2} b+2 \text {a1} c^2 \text {c1} b-4 c^2 \text {c2} b-3 c^2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b+3 c^2 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))} b-2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b+\text {a1} \text {b1} c^2-2 \text {b2} c^2-2 \text {a1}^2 c+8 \text {a2} c-c^3 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+c^3 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+2 c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}\right ) a+b^2 c^4-\text {a1}^2 b^2+4 \text {a2} b^2-b^4 c^2+\text {a1}^2 c^2-4 \text {a2} c^2+\text {a1} b \text {b1} c^2-2 b \text {b2} c^2-\text {a1} b^2 \text {b1} c+2 b^2 \text {b2} c+b c^3 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-b^3 c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-b c^3 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-c^2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+b^3 c \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}+b^2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}}{2 (a-b)^3 (a-c)^2 (b-c)},\frac {(b-c) (\text {c1}+3) a^2+\left (-\left ((\text {c1}+3) b^2\right )+3 c^2+c^2 \text {c1}-\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right ) a-3 b c^2+3 b^2 c-b c^2 \text {c1}+b^2 c \text {c1}+b \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+c \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-b \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}}{2 (a-b) (a-c) (b-c)},\frac {b a^2-c a^2-b \text {c1} a^2+c \text {c1} a^2-b^2 a+c^2 a+b^2 \text {c1} a-c^2 \text {c1} a-\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))} a+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} a-b c^2+b^2 c+b c^2 \text {c1}-b^2 c \text {c1}+b \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+c \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-b \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}}{2 (a-b) (a-c) (b-c)},\frac {a^2-b a-c a+b c+\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}}{(a-b) (a-c)},\frac {-b^2+c b+a (b-c)-\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}}{(a-b) (b-c)},\frac {a-x}{a-b}\right ] (x-a)^{\frac {\left (2 b^2+\text {b1} b+2 c b-c \text {c1} b+2 c^2-\text {a1}+\text {b1} c+2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}\right ) a^2+\left (c b^2+c^2 b+\text {a1} b-\text {b1} c b-\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b+\text {a1} c-c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}\right ) a+b c (\text {a1}+b c)}{2 (a-b)^2 (a-c)^2}}+c_1 \text {HeunG}\left [\frac {a-c}{a-b},\frac {2 (b-c) a^5+\left (\left (\text {c1}^2-5\right ) b^2+\text {b1} \text {c1} b+5 c^2-c^2 \text {c1}^2-\text {b1} c \text {c1}-\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right ) a^4+\left (4 b^3+\left (\text {b1} \text {c1}-2 c \left (\text {c1}^2-4\right )\right ) b^2+\left (\text {b1}^2-8 c^2+2 c^2 \text {c1}^2+2 \text {a1} \text {c1}-4 \text {c2}-2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-3 \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right ) b-c \left (\text {b1}^2+c \text {c1} \text {b1}+4 c^2+2 \text {a1} \text {c1}-4 \text {c2}-2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-3 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right )\right ) a^3+\left (-b^4-8 c b^3-3 \text {b1} c \text {c1} b^2+3 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b^2+3 \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b^2+8 c^3 b+3 \text {a1} \text {b1} b-6 \text {b2} b+3 \text {b1} c^2 \text {c1} b-3 c \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))} b+3 c \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b+c^4-3 \text {a1} \text {b1} c+6 \text {b2} c-3 c^2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-3 c^2 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right ) a^2+\left (2 c b^4+4 c^2 b^3-\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b^3-\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b^3-4 c^3 b^2-\text {a1} \text {b1} b^2+2 \text {b2} b^2-\text {b1}^2 c b^2-2 \text {a1} c \text {c1} b^2+4 c \text {c2} b^2-3 c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b^2-3 c \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b^2-2 c^4 b+2 \text {a1}^2 b+\text {b1}^2 c^2 b-8 \text {a2} b+2 \text {a1} c^2 \text {c1} b-4 c^2 \text {c2} b+3 c^2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b+3 c^2 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))} b+2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} b+\text {a1} \text {b1} c^2-2 \text {b2} c^2-2 \text {a1}^2 c+8 \text {a2} c+c^3 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+c^3 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-2 c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}\right ) a+b^2 c^4-\text {a1}^2 b^2+4 \text {a2} b^2-b^4 c^2+\text {a1}^2 c^2-4 \text {a2} c^2+\text {a1} b \text {b1} c^2-2 b \text {b2} c^2-\text {a1} b^2 \text {b1} c+2 b^2 \text {b2} c-b c^3 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+b^3 c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}-b c^3 \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+c^2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+b^3 c \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}-b^2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}}{2 (a-b)^3 (a-c)^2 (b-c)},\frac {(b-c) (\text {c1}+3) a^2+\left (-\left ((\text {c1}+3) b^2\right )+3 c^2+c^2 \text {c1}-\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}\right ) a-3 b c^2+3 b^2 c-b c^2 \text {c1}+b^2 c \text {c1}-b \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+c \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-b \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}}{2 (a-b) (a-c) (b-c)},\frac {b a^2-c a^2-b \text {c1} a^2+c \text {c1} a^2-b^2 a+c^2 a+b^2 \text {c1} a-c^2 \text {c1} a-\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))} a+\sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))} a-b c^2+b^2 c+b c^2 \text {c1}-b^2 c \text {c1}-b \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}+c \sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}-b \sqrt {\text {c1}^2 c^4+2 \text {c1} c^4+c^4-2 a c^3-2 b c^3+2 \text {b1} c^3-2 a \text {c1} c^3-2 b \text {c1} c^3+2 \text {b1} \text {c1} c^3+a^2 c^2+b^2 c^2+\text {b1}^2 c^2+4 a b c^2-2 a \text {b1} c^2-2 b \text {b1} c^2+2 a b \text {c1} c^2-4 \text {c2} c^2-2 a b^2 c-2 a^2 b c+2 a b \text {b1} c-4 \text {b2} c+\text {a1}^2+a^2 b^2-4 \text {a2}+2 \text {a1} (a (b-c)+c (-b+\text {b1}+c+c \text {c1}))}}{2 (a-b) (a-c) (b-c)},\frac {a^2-b a-c a+b c-\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}}{(a-b) (a-c)},\frac {-b^2+c b+a (b-c)-\sqrt {\text {c1}^2 b^4+2 \text {c1} b^4+b^4-2 a b^3+2 \text {b1} b^3-2 c b^3-2 a \text {c1} b^3+2 \text {b1} \text {c1} b^3-2 c \text {c1} b^3+a^2 b^2+\text {b1}^2 b^2+c^2 b^2-2 a \text {b1} b^2+4 a c b^2-2 \text {b1} c b^2+2 a c \text {c1} b^2-4 \text {c2} b^2-2 a c^2 b-4 \text {b2} b-2 a^2 c b+2 a \text {b1} c b+\text {a1}^2+a^2 c^2-4 \text {a2}+2 \text {a1} (a (c-b)+b (\text {c1} b+b+\text {b1}-c))}}{(a-b) (b-c)},\frac {a-x}{a-b}\right ] (x-a)^{\frac {\left (2 b^2+(\text {b1}+2 c-c \text {c1}) b-\text {a1}+c (\text {b1}+2 c)\right ) a^2+\left (c b^2+c^2 b+\text {a1} b-\text {b1} c b+\sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c} b+\text {a1} c+c \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}\right ) a+b c \left (\text {a1}+b c-2 \sqrt {(\text {c1}+1)^2 a^4-2 (b-\text {b1}+c) (\text {c1}+1) a^3+\left (b^2-2 \text {b1} b+2 c (\text {c1}+2) b+\text {b1}^2+c^2-2 \text {b1} c+2 \text {a1} (\text {c1}+1)-4 \text {c2}\right ) a^2-2 (2 \text {b2}+\text {a1} (b-\text {b1}+c)+b c (b-\text {b1}+c)) a+\text {a1}^2+b^2 c^2-4 \text {a2}+2 \text {a1} b c}\right )}{2 (a-b)^2 (a-c)^2}}\right )\right \}\right \}\]
Maple ✓
cpu = 13.374 (sec), leaf count = 11708
\[\text {Expression too large to display}\] Mathematica raw input
DSolve[(a2 + b2*x + c2*x^2)*y[x] + (a - x)*(b - x)*(c - x)*(a1 + b1*x + c1*x^2)*y'[x] + (a - x)^2*(b - x)^2*(c - x)^2*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> ((-a + x)^((a^2*(-a1 + 2*b^2 + c*(b1 + 2*c) + b*(b1 + 2*c - c*c1)) + b*c*(a1 + b*c - 2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]) + a*(a1*b + a1*c + b^2*c - b*b1*c + b*c^2 + b*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]))/(2*(a - b)^2*(a - c)^2))*C[1]*HeunG[(a - c)/(a - b), (-(a1^2*b^2) + 4*a2*b^2 + 2*a^5*(b - c) - a1*b^2*b1*c + 2*b^2*b2*c + a1^2*c^2 - 4*a2*c^2 - b^4*c^2 + a1*b*b1*c^2 - 2*b*b2*c^2 + b^2*c^4 + b^3*c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - b*c^3*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - b*c^3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + c^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + b^3*c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] - b^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + a^4*(5*c^2 + b*b1*c1 - b1*c*c1 - c^2*c1^2 + b^2*(-5 + c1^2) - Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]) + a^2*(-b^4 + 3*a1*b*b1 - 6*b*b2 - 8*b^3*c - 3*a1*b1*c + 6*b2*c + 8*b*c^3 + c^4 - 3*b^2*b1*c*c1 + 3*b*b1*c^2*c1 + 3*b^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 3*c^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 3*b*c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - 3*c^2*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + 3*b^2*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + 3*b*c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] - Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]) + a*(2*a1^2*b - 8*a2*b - a1*b^2*b1 + 2*b^2*b2 - 2*a1^2*c + 8*a2*c + 2*b^4*c - b^2*b1^2*c + 4*b^3*c^2 + a1*b1*c^2 + b*b1^2*c^2 - 2*b2*c^2 - 4*b^2*c^3 - 2*b*c^4 - 2*a1*b^2*c*c1 + 2*a1*b*c^2*c1 - b^3*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 3*b^2*c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + 3*b*c^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + c^3*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + 4*b^2*c*c2 - 4*b*c^2*c2 + 3*b*c^2*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + c^3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - 2*c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - b^3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] - 3*b^2*c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + 2*b*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]) + a^3*(4*b^3 + b^2*(b1*c1 - 2*c*(-4 + c1^2)) + b*(b1^2 - 8*c^2 + 2*a1*c1 + 2*c^2*c1^2 - 2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 4*c2 + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - 3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]) - c*(b1^2 + 4*c^2 + 2*a1*c1 + b1*c*c1 - 2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 4*c2 - 3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2])))/(2*(a - b)^3*(a - c)^2*(b - c)), (3*b^2*c - 3*b*c^2 + b^2*c*c1 - b*c^2*c1 + a^2*(b - c)*(3 + c1) - b*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - b*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + a*(3*c^2 + c^2*c1 - b^2*(3 + c1) - Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]))/(2*(a - b)*(a - c)*(b - c)), (a^2*b - a*b^2 - a^2*c + b^2*c + a*c^2 - b*c^2 - a^2*b*c1 + a*b^2*c1 + a^2*c*c1 - b^2*c*c1 - a*c^2*c1 + b*c^2*c1 - b*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - a*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + a*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] - b*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2])/(2*(a - b)*(a - c)*(b - c)), (a^2 - a*b - a*c + b*c - Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)])/((a - b)*(a - c)), (-b^2 + a*(b - c) + b*c - Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2])/((a - b)*(b - c)), (a - x)/(a - b)] + (-a + x)^((b*c*(a1 + b*c) + a^2*(-a1 + 2*b^2 + b*b1 + 2*b*c + b1*c + 2*c^2 - b*c*c1 + 2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]) + a*(a1*b + a1*c + b^2*c - b*b1*c + b*c^2 - b*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]))/(2*(a - b)^2*(a - c)^2))*C[2]*HeunG[(a - c)/(a - b), (-(a1^2*b^2) + 4*a2*b^2 + 2*a^5*(b - c) - a1*b^2*b1*c + 2*b^2*b2*c + a1^2*c^2 - 4*a2*c^2 - b^4*c^2 + a1*b*b1*c^2 - 2*b*b2*c^2 + b^2*c^4 - b^3*c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + b*c^3*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - b*c^3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - c^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + b^3*c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + b^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + a^4*(5*c^2 + b*b1*c1 - b1*c*c1 - c^2*c1^2 + b^2*(-5 + c1^2) - Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]) + a^2*(-b^4 + 3*a1*b*b1 - 6*b*b2 - 8*b^3*c - 3*a1*b1*c + 6*b2*c + 8*b*c^3 + c^4 - 3*b^2*b1*c*c1 + 3*b*b1*c^2*c1 - 3*b^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + 3*c^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 3*b*c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - 3*c^2*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + 3*b^2*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + 3*b*c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]) + a*(2*a1^2*b - 8*a2*b - a1*b^2*b1 + 2*b^2*b2 - 2*a1^2*c + 8*a2*c + 2*b^4*c - b^2*b1^2*c + 4*b^3*c^2 + a1*b1*c^2 + b*b1^2*c^2 - 2*b2*c^2 - 4*b^2*c^3 - 2*b*c^4 - 2*a1*b^2*c*c1 + 2*a1*b*c^2*c1 + b^3*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + 3*b^2*c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 3*b*c^2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - c^3*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + 4*b^2*c*c2 - 4*b*c^2*c2 + 3*b*c^2*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + c^3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + 2*c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - b^3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] - 3*b^2*c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] - 2*b*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]) + a^3*(4*b^3 + b^2*(b1*c1 - 2*c*(-4 + c1^2)) + b*(b1^2 - 8*c^2 + 2*a1*c1 + 2*c^2*c1^2 + 2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 4*c2 + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - 3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]) - c*(b1^2 + 4*c^2 + 2*a1*c1 + b1*c*c1 + 2*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - 4*c2 - 3*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2])))/(2*(a - b)^3*(a - c)^2*(b - c)), (3*b^2*c - 3*b*c^2 + b^2*c*c1 - b*c^2*c1 + a^2*(b - c)*(3 + c1) + b*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] + c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] - b*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] + a*(3*c^2 + c^2*c1 - b^2*(3 + c1) - Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2]))/(2*(a - b)*(a - c)*(b - c)), (a^2*b - a*b^2 - a^2*c + b^2*c + a*c^2 - b*c^2 - a^2*b*c1 + a*b^2*c1 + a^2*c*c1 - b^2*c*c1 - a*c^2*c1 + b*c^2*c1 + b*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)] - a*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + c*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2] + a*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2] - b*Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2])/(2*(a - b)*(a - c)*(b - c)), (a^2 - a*b - a*c + b*c + Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)])/((a - b)*(a - c)), (-b^2 + a*(b - c) + b*c - Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2])/((a - b)*(b - c)), (a - x)/(a - b)])/((-a + x)^((a*(2*a1*(b + c) + b*c*(3*b - 2*b1 + 3*c)) - a^4*(1 + c1) + a^3*(-b1 + b*(2 + c1) + c*(2 + c1)) + a^2*(-2*a1 + b^2 + 2*b*b1 - 2*b*c + 2*b1*c + c^2 - 2*b*c*c1 + Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)]) - b*c*Sqrt[a1^2 - 4*a2 + 2*a1*b*c + b^2*c^2 - 2*a*(2*b2 + a1*(b - b1 + c) + b*c*(b - b1 + c)) - 2*a^3*(b - b1 + c)*(1 + c1) + a^4*(1 + c1)^2 + a^2*(b^2 - 2*b*b1 + b1^2 - 2*b1*c + c^2 + 2*a1*(1 + c1) + 2*b*c*(2 + c1) - 4*c2)])/(2*(a - b)^2*(a - c)^2))*(-b + x)^((a1 - a*b + b^2 + b*b1 + a*c - b*c + b^2*c1 + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a*b^3 + b^4 - 2*a*b^2*b1 + 2*b^3*b1 + b^2*b1^2 - 4*b*b2 - 2*a^2*b*c + 4*a*b^2*c - 2*b^3*c + 2*a*b*b1*c - 2*b^2*b1*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 - 2*a*b^3*c1 + 2*b^4*c1 + 2*b^3*b1*c1 + 2*a*b^2*c*c1 - 2*b^3*c*c1 + b^4*c1^2 + 2*a1*(a*(-b + c) + b*(b + b1 - c + b*c1)) - 4*b^2*c2])/(2*(a - b)*(b - c)))*(-c + x)^((a1 + a*b - a*c - b*c + b1*c + c^2 + c^2*c1 + Sqrt[a1^2 - 4*a2 + a^2*b^2 - 2*a^2*b*c - 2*a*b^2*c + 2*a*b*b1*c - 4*b2*c + a^2*c^2 + 4*a*b*c^2 + b^2*c^2 - 2*a*b1*c^2 - 2*b*b1*c^2 + b1^2*c^2 - 2*a*c^3 - 2*b*c^3 + 2*b1*c^3 + c^4 + 2*a*b*c^2*c1 - 2*a*c^3*c1 - 2*b*c^3*c1 + 2*b1*c^3*c1 + 2*c^4*c1 + c^4*c1^2 + 2*a1*(a*(b - c) + c*(-b + b1 + c + c*c1)) - 4*c^2*c2])/(2*(a - c)*(-b + c))))}}
Maple raw input
dsolve((a-x)^2*(b-x)^2*(c-x)^2*diff(diff(y(x),x),x)+(a-x)*(b-x)*(c-x)*(c1*x^2+b1*x+a1)*diff(y(x),x)+(c2*x^2+b2*x+a2)*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*HeunG((a-c)/(a-b),1/4*(2*((a-c)*((a-c)*((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)+(a-b)*(2*a-c-b)*(b-c))*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(a-c)^3*(a-b)*((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)+(2*a^5+((c1^2-5)*c+c1^2*b+b1*c1-5*b)*a^4+(4*c^2+(-2*b*c1^2+b1*c1+12*b)*c+c1*b1*b+2*a1*c1+b1^2-4*c2+4*b^2)*a^3+(-c^3-9*b*c^2-3*(b1*c1+3*b)*b*c+3*a1*b1-6*b2-b^3)*a^2+(2*b*c^3+6*b^2*c^2+(2*b^3+(-2*a1*c1-b1^2+4*c2)*b-a1*b1+2*b2)*c+(-a1*b1+2*b2)*b+2*a1^2-8*a2)*a-b^2*c^3-b^3*c^2+((-a1*b1+2*b2)*b+4*a2-a1^2)*c-b*(a1^2-4*a2))*(b-c))*(2*(b-c)*(a-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(a-b)^2*(2*(c1+1)^2*c^4-2*((c1+2)*a+(c1+2)*b-b1)*(c1+1)*c^3+((c1^2+2*c1+2)*a^2+((4*c1^2+10*c1+8)*b-2*b1)*a+(c1^2+2*c1+2)*b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*b*(c1^2+2*c1+2)*a^2+((-2*c1^2-4*c1-4)*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+(c1^2+2*c1+2)*b^2*a^2+2*a*a1*b+a1^2-4*a2))^(1/2)+(a-b)*(2*(a-c)*(a^2-a*b-a*c+c*b+((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2))*(b-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(-(c1^2+2*c1-1)*(b-c)^2*a^4+2*((c1+1)*c^2+b1*(c1+3)*c+(c1-1)*b^2-b1*(c1+1)*b+2*a1)*(b-c)*a^3+((2*c1^2+4*c1+1)*c^4+2*((c1+1)*b+2*b1*c1+3*b1)*c^3+(2*(-3-2*c1)*b^2+2*b*b1+b1^2+2*a1-4*c2+2*a1*c1)*c^2+2*((-c1+1)*b^3-5*b^2*b1+(2*a1*c1+b1^2+4*a1-4*c2)*b+2*a1*b1-4*b2)*c+b^4+2*b^3*b1+(-2*a1*c1-b1^2-10*a1+4*c2)*b^2+2*a1^2-8*a2)*a^2+2*(-(2*c1^2+4*c1+1)*b*c^4+((2*c1+1)*b^2+(-4*b1*c1-5*b1)*b+a1)*c^3+((2*c1+1)*b^3+4*b^2*b1+(-4*a1*c1-2*b1^2-5*a1+8*c2)*b-a1*b1+2*b2)*c^2-b*(b^3-b^2*b1-a1*b+2*a1*b1-4*b2)*c+3*a1*b^3+(-a1*b1+2*b2)*b^2+(-2*a1^2+8*a2)*b)*a+b^2*(2*c1^2+4*c1+1)*c^4-2*b*((2*c1+1)*b^2-2*b1*(c1+1)*b+a1)*c^3+(b^4-4*b^3*b1+2*(2*a1*c1+b1^2+4*a1-4*c2)*b^2+4*a2-a1^2)*c^2+2*(-3*a1*b^3+(2*a1*b1-4*b2)*b^2+b*(a1^2-4*a2))*c+b^2*(a1^2-4*a2))*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(b-c)^2*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(3/2)+2*(a-c)*(a-b)^3*((b-c)^2*a^2-2*((-1-c1)*c^2+(b-b1)*c-a1)*(b-c)*a+(c1+1)^2*c^4-2*(c1+1)*(b-b1)*c^3+(2*a1*c1+b^2-2*b*b1+b1^2+2*a1-4*c2)*c^2+(-2*a1*b+2*a1*b1-4*b2)*c+a1^2-4*a2)))/(2*(b-c)*(a-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(a-b)^2*(2*(c1+1)^2*c^4-2*((c1+2)*a+(c1+2)*b-b1)*(c1+1)*c^3+((c1^2+2*c1+2)*a^2+((4*c1^2+10*c1+8)*b-2*b1)*a+(c1^2+2*c1+2)*b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*b*(c1^2+2*c1+2)*a^2+((-2*c1^2-4*c1-4)*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+(c1^2+2*c1+2)*b^2*a^2+2*a*a1*b+a1^2-4*a2))^(1/2)/(b-c)/(a-c)^2/(a-b)^3,1/2*((2*(b-c)*(a-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(a-b)^2*(2*(c1+1)^2*c^4-2*((c1+2)*a+(c1+2)*b-b1)*(c1+1)*c^3+((c1^2+2*c1+2)*a^2+((4*c1^2+10*c1+8)*b-2*b1)*a+(c1^2+2*c1+2)*b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*b*(c1^2+2*c1+2)*a^2+((-2*c1^2-4*c1-4)*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+(c1^2+2*c1+2)*b^2*a^2+2*a*a1*b+a1^2-4*a2))^(1/2)+(a-c)*((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)+(b-c)*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(2*a-2*b)*c^2+(-2*a^2+2*b^2)*c+2*a^2*b-2*a*b^2)/(b-c)/(a-c)/(a-b),-1/2*(((c-a)*((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)-2*(1/2*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(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2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+(2*c1+2)*a1+b1^2-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)^(1/2)+(c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2))/(b-c)/(a-c))*HeunG((a-c)/(a-b),1/2/(2*(b-c)*(a-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(a-b)^2*(2*(c1+1)^2*c^4-2*((c1+2)*a+(c1+2)*b-b1)*(c1+1)*c^3+((c1^2+2*c1+2)*a^2+((4*c1^2+10*c1+8)*b-2*b1)*a+(c1^2+2*c1+2)*b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*b*(c1^2+2*c1+2)*a^2+((-2*c1^2-4*c1-4)*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+(c1^2+2*c1+2)*b^2*a^2+2*a*a1*b+a1^2-4*a2))^(1/2)*((-2*(a-c)*((1/2*a-1/2*c)*((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)+(a-b)*(a-1/2*b-1/2*c)*(b-c))*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(a-c)^3*(a-b)*((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)+2*(-1/2*(a-c)^2*b^3+2*(a-c)^2*(a-1/4*c)*b^2+((1/2*c1^2-5/2)*a^4+(-c*c1^2+1/2*b1*c1+6*c)*a^3-9/2*c*(1/3*b1*c1+c)*a^2+(-1/2*c*b1^2+2*c2*c-1/2*a1*b1+b2-c1*c*a1+c^3)*a-1/2*a1*b1*c+b2*c-1/2*a1^2+2*a2)*b+a^5+(1/2*b1*c1+1/2*(c1^2-5)*c)*a^4+(1/2*c*b1*c1+a1*c1+1/2*b1^2-2*c2+2*c^2)*a^3+(3/2*a1*b1-3*b2-1/2*c^3)*a^2+(-4*a2-1/2*a1*b1*c+b2*c+a1^2)*a-1/2*c*(a1^2-4*a2))*(b-c))*(2*(b-c)*(a-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(a-b)^2*(2*(c1+1)^2*c^4-2*((c1+2)*a+(c1+2)*b-b1)*(c1+1)*c^3+((c1^2+2*c1+2)*a^2+((4*c1^2+10*c1+8)*b-2*b1)*a+(c1^2+2*c1+2)*b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*b*(c1^2+2*c1+2)*a^2+((-2*c1^2-4*c1-4)*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+(c1^2+2*c1+2)*b^2*a^2+2*a*a1*b+a1^2-4*a2))^(1/2)+(a-b)*((a-c)*(-((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(a-b)*(a-c))*(b-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+1/2*(b-c)^2*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(3/2)+(-3/2*(a-c)^2*b^4+(a-c)*((c1+3)*a^2+b1*a-2*c^2*c1-3*c^2-2*b1*c-a1)*b^3+((-3/2-1/2*c1^2-c1)*a^4+((-1-c1)*b1-(c1+3)*c)*a^3+(-1/2*b1^2+3*b1*c+(3-c1)*a1+6*c^2*c1+9*c^2+2*c2)*a^2+(-2*c^3*c1-3*c^3-a1*b1-3*a1*c+2*b2)*a-b1^2*c^2-2*c*(a1+(c1+1)*c^2)*b1-3/2*c^4-3/2*a1^2+4*b2*c-c^4*c1^2-2*c^4*c1+4*c^2*c2-2*a1*c^2*c1+6*a2)*b^2+(c*(c1^2+2*c1+3)*a^4+(2*b1*c*c1-3*c^2*c1-3*c^2-2*a1)*a^3-3*(c^2*c1+c^2+b1*c-2/3*a1*c1-1/3*b1^2+4/3*c2)*c*a^2+(2*b1^2*c^2+(6*a1*c+4*c^3*(c1+3/4))*b1+2*a1^2+4*c^2*(c1+3/4)*a1+2*c^4*c1^2+4*c^4*c1+3*c^4-8*c^2*c2-12*b2*c-8*a2)*a-c*(a1*c^2-a1^2+4*a2))*b-1/2*c^2*(c1^2+2*c1+3)*a^4+3*(-1/3*b1*(c1-1)*c+c^2*c1+c^2+2/3*a1)*c*a^3+(-3/2*b1^2*c^2+(-2*a1*c-2*c^3*(c1+1/2))*b1-a1^2-3*(c1+1)*c^2*a1+4*a2-3/2*c^4+4*b2*c-c^4*c1^2-2*c^4*c1+6*c^2*c2)*a^2+c^2*(-a1*b1+a1*c+2*b2)*a-1/2*c^2*(a1^2-4*a2))*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(a-c)*(a-b)^3*((a-c)^2*b^2-2*(a-c)*(-c^2*c1+a*c-b1*c-c^2-a1)*b+a^2*c^2-2*c*(c^2*c1+b1*c+c^2+a1)*a+b1^2*c^2+2*c*(a1+(c1+1)*c^2)*b1+a1^2+2*(c1+1)*c^2*a1+c^4*c1^2+2*c^4*c1+c^4-4*c^2*c2-4*b2*c-4*a2)))/(b-c)/(a-c)^2/(a-b)^3,1/2*((2*(b-c)*(a-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(a-b)^2*(2*(c1+1)^2*c^4-2*((c1+2)*a+(c1+2)*b-b1)*(c1+1)*c^3+((c1^2+2*c1+2)*a^2+((4*c1^2+10*c1+8)*b-2*b1)*a+(c1^2+2*c1+2)*b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*b*(c1^2+2*c1+2)*a^2+((-2*c1^2-4*c1-4)*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+(c1^2+2*c1+2)*b^2*a^2+2*a*a1*b+a1^2-4*a2))^(1/2)+(a-c)*((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)+(-b+c)*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(2*a-2*b)*c^2+(-2*a^2+2*b^2)*c+2*a^2*b-2*a*b^2)/(b-c)/(a-c)/(a-b),-1/2/(2*(b-c)*(a-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(a-b)^2*(2*(c1+1)^2*c^4-2*((c1+2)*a+(c1+2)*b-b1)*(c1+1)*c^3+((c1^2+2*c1+2)*a^2+((4*c1^2+10*c1+8)*b-2*b1)*a+(c1^2+2*c1+2)*b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*b*(c1^2+2*c1+2)*a^2+((-2*c1^2-4*c1-4)*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+(c1^2+2*c1+2)*b^2*a^2+2*a*a1*b+a1^2-4*a2))^(1/2)*(((c-a)*((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)-2*(-1/2*((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(a-b)*(a-c))*(b-c))*(2*(b-c)*(a-c)*((a-b)^4*((c1+1)^2*c^4-2*(c1+1)*(a+b-b1)*c^3+(a^2+((2*c1+4)*b-2*b1)*a+b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*a^2*b+(-2*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+a^2*b^2+2*a*a1*b+a1^2-4*a2)*(c1+1)^2)^(1/2)+(a-b)^2*(2*(c1+1)^2*c^4-2*((c1+2)*a+(c1+2)*b-b1)*(c1+1)*c^3+((c1^2+2*c1+2)*a^2+((4*c1^2+10*c1+8)*b-2*b1)*a+(c1^2+2*c1+2)*b^2-2*b*b1+2*a1*c1+b1^2+2*a1-4*c2)*c^2+(-2*b*(c1^2+2*c1+2)*a^2+((-2*c1^2-4*c1-4)*b^2+2*b*b1-2*a1)*a-2*a1*b+2*a1*b1-4*b2)*c+(c1^2+2*c1+2)*b^2*a^2+2*a*a1*b+a1^2-4*a2))^(1/2)+(a-b)^2*(c1*(a-c)^2*(c1+2)*b^2-2*(a-c)*((-c1^2-c1)*c^2+(a*c1^2+2*a*c1+b1)*c+a1)*b-2*(c1+1)*(a*c1+b1)*c^3+(c1^2*a^2+(2*a^2-2*a1)*c1+2*b1*a-b1^2-2*a1+4*c2)*c^2+(2*a*a1-2*a1*b1+4*b2)*c-a1^2+4*a2))/(b-c)/(a-c)/(a-b),(-((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+a^2+(-b-c)*a+c*b)/(a-c)/(a-b),(((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)-b^2+(a+c)*b-a*c)/(b-c)/(a-b),(a-x)/(a-b))*(x-a)^(1/2*(-((c1+1)^2*a^4-2*(c1+1)*(b+c-b1)*a^3+((2*c1+2)*a1+b^2+(-2*b1+(2*c1+4)*c)*b+b1^2-2*b1*c+c^2-4*c2)*a^2+(-2*b^2*c+(2*b1*c-2*c^2-2*a1)*b-2*a1*c+2*a1*b1-4*b2)*a+b^2*c^2+2*a1*b*c+a1^2-4*a2)^(1/2)+(c1+1)*a^2+(-b-c+b1)*a+c*b+a1)/(a-c)/(a-b))*(x-b)^(1/2*(((c1+1)^2*b^4-2*(c1+1)*(a+c-b1)*b^3+(a^2+(-2*b1+(2*c1+4)*c)*a+c^2-2*b1*c+(2*c1+2)*a1+b1^2-4*c2)*b^2+(-2*a^2*c+(2*b1*c-2*c^2-2*a1)*a-2*a1*c+2*a1*b1-4*b2)*b+a^2*c^2+2*a*a1*c+a1^2-4*a2)^(1/2)+(-1-c1)*b^2+(a+c-b1)*b-a*c-a1)/(b-c)/(a-b))]