ODE
\[ 2 (a-y(x)) (b-y(x)) (c-y(x)) y''(x)+y'(x)^2 ((a-y(x)) (b-y(x))+(a-y(x)) (c-y(x))+(b-y(x)) (c-y(x)))=\text {a0} (a-y(x))^2 (b-y(x))^2 (c-y(x))^2+2 \text {a2} (a-y(x))^2 (c-y(x))^2+\text {a3} (a-y(x))^2 (b-y(x))^2+\text {a1} (b-y(x))^2 (c-y(x))^2 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 23.8951 (sec), leaf count = 10112
\[\left \{\text {Solve}\left [\frac {2 F\left (\sin ^{-1}\left (\sqrt {\frac {\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-y(x)\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-y(x)\right )}}\right )|\frac {\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,3\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,3\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right )}\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-y(x)\right ) \sqrt {\frac {\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,3\right ]-y(x)\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,3\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-y(x)\right )}} \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]-y(x)\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \sqrt {\frac {\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-y(x)\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]-y(x)\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ){}^2 \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-y(x)\right ){}^2}} \sqrt {\text {a1} (b-y(x)) (c-y(x))+y(x) ((y(x)-b) (\text {a0} y(x)-c_1)-2 \text {a2}) (c-y(x))+\text {a3} y(x) (y(x)-b)+a (\text {a3} (b-y(x))+(c-y(x)) (2 \text {a2}+(b-y(x)) (\text {a0} y(x)-c_1)))}}=x+c_2,y(x)\right ],\text {Solve}\left [\frac {2 F\left (\sin ^{-1}\left (\sqrt {\frac {\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-y(x)\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-y(x)\right )}}\right )|\frac {\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,3\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,3\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right )}\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-y(x)\right ){}^2 \sqrt {\frac {\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,3\right ]-y(x)\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,3\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-y(x)\right )}} \sqrt {\frac {\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-y(x)\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]-y(x)\right )}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ){}^2 \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-y(x)\right ){}^2}}}{\left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,1\right ]\right ) \left (\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,2\right ]-\text {Root}\left [\text {a0} \text {$\#$1}^4+(-a \text {a0}-b \text {a0}-c \text {a0}-c_1) \text {$\#$1}^3+(-\text {a1}-2 \text {a2}-\text {a3}+a \text {a0} b+a \text {a0} c+\text {a0} b c+a c_1+b c_1+c c_1) \text {$\#$1}^2+(2 a \text {a2}+2 c \text {a2}+a \text {a3}+\text {a1} b+\text {a3} b+\text {a1} c-a \text {a0} b c-a b c_1-a c c_1-b c c_1) \text {$\#$1}-a \text {a3} b-2 a \text {a2} c-\text {a1} b c+a b c c_1\& ,4\right ]\right ) \sqrt {\text {a1} (b-y(x)) (c-y(x))+y(x) ((y(x)-b) (\text {a0} y(x)-c_1)-2 \text {a2}) (c-y(x))+\text {a3} y(x) (y(x)-b)+a (\text {a3} (b-y(x))+(c-y(x)) (2 \text {a2}+(b-y(x)) (\text {a0} y(x)-c_1)))}}=x+c_2,y(x)\right ]\right \}\]
Maple ✓
cpu = 2.375 (sec), leaf count = 230999
\[\text {result too large to display}\] Mathematica raw input
DSolve[((a - y[x])*(b - y[x]) + (a - y[x])*(c - y[x]) + (b - y[x])*(c - y[x]))*y'[x]^2 + 2*(a - y[x])*(b - y[x])*(c - y[x])*y''[x] == a3*(a - y[x])^2*(b - y[x])^2 + 2*a2*(a - y[x])^2*(c - y[x])^2 + a1*(b - y[x])^2*(c - y[x])^2 + a0*(a - y[x])^2*(b - y[x])^2*(c - y[x])^2,y[x],x]
Mathematica raw output
{Solve[(2*EllipticF[ArcSin[Sqrt[((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - y[x]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - y[x]))]], ((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 3])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 3])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4]))]*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - y[x])*Sqrt[((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 3] - y[x]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 3])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - y[x]))]*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4] - y[x]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*Sqrt[((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - y[x])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4] - y[x]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])^2*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - y[x])^2)]*Sqrt[a1*(b - y[x])*(c - y[x]) + a3*y[x]*(-b + y[x]) + (c - y[x])*y[x]*(-2*a2 + (-b + y[x])*(-C[1] + a0*y[x])) + a*(a3*(b - y[x]) + (c - y[x])*(2*a2 + (b - y[x])*(-C[1] + a0*y[x])))]) == x + C[2], y[x]], Solve[(2*EllipticF[ArcSin[Sqrt[((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - y[x]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - y[x]))]], ((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 3])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 3])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4]))]*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - y[x])^2*Sqrt[((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 3] - y[x]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 3])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - y[x]))]*Sqrt[((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - y[x])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4] - y[x]))/((Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])^2*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - y[x])^2)])/((-Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 1] + Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2])*(Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 2] - Root[-(a*a3*b) - 2*a*a2*c - a1*b*c + a*b*c*C[1] + (2*a*a2 + a*a3 + a1*b + a3*b + a1*c + 2*a2*c - a*a0*b*c - a*b*C[1] - a*c*C[1] - b*c*C[1])*#1 + (-a1 - 2*a2 - a3 + a*a0*b + a*a0*c + a0*b*c + a*C[1] + b*C[1] + c*C[1])*#1^2 + (-(a*a0) - a0*b - a0*c - C[1])*#1^3 + a0*#1^4 & , 4])*Sqrt[a1*(b - y[x])*(c - y[x]) + a3*y[x]*(-b + y[x]) + (c - y[x])*y[x]*(-2*a2 + (-b + y[x])*(-C[1] + a0*y[x])) + a*(a3*(b - y[x]) + (c - y[x])*(2*a2 + (b - y[x])*(-C[1] + a0*y[x])))]) == x + C[2], y[x]]}
Maple raw input
dsolve(2*(a-y(x))*(b-y(x))*(c-y(x))*diff(diff(y(x),x),x)+((a-y(x))*(b-y(x))+(a-y(x))*(c-y(x))+(b-y(x))*(c-y(x)))*diff(y(x),x)^2 = a0*(a-y(x))^2*(b-y(x))^2*(c-y(x))^2+a1*(b-y(x))^2*(c-y(x))^2+2*a2*(a-y(x))^2*(c-y(x))^2+a3*(a-y(x))^2*(b-y(x))^2, y(x))
Maple raw output
[Intat(1/(-4*_a^2*a0*b*c*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-_a^3*a1*(-c^4/(b-c)^2/(a-c)^2/(_a-c)+4/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*b-a^4/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*b-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c+4/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c*b-b^4/(b-c)^2/(a-b)^2/(_a-b)+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a-4/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*c)-2*_a^3*a2*(-c^4/(b-c)^2/(a-c)^2/(_a-c)+4/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*b-a^4/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*b-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c+4/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c*b-b^4/(b-c)^2/(a-b)^2/(_a-b)+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a-4/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*c)-_a^3*a3*(-c^4/(b-c)^2/(a-c)^2/(_a-c)+4/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*b-a^4/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*b-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c+4/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c*b-b^4/(b-c)^2/(a-b)^2/(_a-b)+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a-4/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*c)-10*_a*a*a2*b*c^2*(-c^2/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*c*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^3-a^2/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^3+2/(a-b)^3/(a-c)^3*ln(_a-a)*a*c*b-b^2/(b-c)^2/(a-b)^2/(_a-b)-2/(a-b)^3/(b-c)^3*ln(_a-b)*b*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^3)-5*_a*a*a3*b^2*c*(-c^2/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*c*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^3-a^2/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^3+2/(a-b)^3/(a-c)^3*ln(_a-a)*a*c*b-b^2/(b-c)^2/(a-b)^2/(_a-b)-2/(a-b)^3/(b-c)^3*ln(_a-b)*b*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^3)+_C1*_a*a*b+_C1*_a*a*c+_C1*_a*b*c-_C1*a*b*c-_C1*_a^2*a+_a^3*_C1-2*_a^2*a1*b^2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)-2*_a^2*a1*c^2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)-4*_a^2*a2*c^2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)-2*_a^2*a3*b^2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+4*_a^3*a*a2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+2*_a^3*a*a3*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2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a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)+2*_a*a^2*a0*b*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)+2*_a*a^2*a0*c*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)+2*_a*a*a0*b^2*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)+2*_a*a*a0*c^2*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)+2*_a*a0*b^2*c*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)+2*_a*a0*b*c^2*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-2*a^2*a0*b*c*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-2*a*a0*b^2*c*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-2*a*a0*b*c^2*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-4*_a^2*a*a0*b*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-4*_a^2*a*a0*c*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-_a*a*a1*b^3*c^2*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)-_a*a*a1*b^2*c^3*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)+2*_a^2*a^2*a2*b*c^2*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)+_a^2*a^2*a3*b^2*c*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)+_a^2*a*a1*b^2*c^2*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)-2*_a*a^3*a2*b*c^2*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)-_a*a^3*a3*b^2*c*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)-2*_a*a^2*a2*b*c^3*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a))^(1/2),_a = y(x))-x-_C2 = 0, Intat(-1/(-4*_a^2*a0*b*c*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-_a^3*a1*(-c^4/(b-c)^2/(a-c)^2/(_a-c)+4/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*b-a^4/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*b-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c+4/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c*b-b^4/(b-c)^2/(a-b)^2/(_a-b)+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a-4/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*c)-2*_a^3*a2*(-c^4/(b-c)^2/(a-c)^2/(_a-c)+4/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*b-a^4/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*b-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c+4/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c*b-b^4/(b-c)^2/(a-b)^2/(_a-b)+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a-4/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*c)-_a^3*a3*(-c^4/(b-c)^2/(a-c)^2/(_a-c)+4/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*b-a^4/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*b-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c+4/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c*b-b^4/(b-c)^2/(a-b)^2/(_a-b)+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a-4/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*c)-10*_a*a*a2*b*c^2*(-c^2/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*c*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^3-a^2/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^3+2/(a-b)^3/(a-c)^3*ln(_a-a)*a*c*b-b^2/(b-c)^2/(a-b)^2/(_a-b)-2/(a-b)^3/(b-c)^3*ln(_a-b)*b*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^3)-5*_a*a*a3*b^2*c*(-c^2/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*c*a*b-2/(b-c)^3/(a-c)^3*ln(_a-c)*c^3-a^2/(a-c)^2/(a-b)^2/(_a-a)-2/(a-b)^3/(a-c)^3*ln(_a-a)*a^3+2/(a-b)^3/(a-c)^3*ln(_a-a)*a*c*b-b^2/(b-c)^2/(a-b)^2/(_a-b)-2/(a-b)^3/(b-c)^3*ln(_a-b)*b*a*c+2/(a-b)^3/(b-c)^3*ln(_a-b)*b^3)+_C1*_a*a*b+_C1*_a*a*c+_C1*_a*b*c-_C1*a*b*c-_C1*_a^2*a+_a^3*_C1-2*_a^2*a1*b^2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)-2*_a^2*a1*c^2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)-4*_a^2*a2*c^2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)-2*_a^2*a3*b^2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+4*_a^3*a*a2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+2*_a^3*a*a3*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+2*_a^3*a1*b*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+2*_a^3*a1*c*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+4*_a^3*a2*c*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+2*_a^3*a3*b*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)-4*_a^2*a^2*a2*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)-2*_a^2*a^2*a3*(-c^3/(b-c)^2/(a-c)^2/(_a-c)+3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2*a*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*a-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^3*b-1/(b-c)^3/(a-c)^3*ln(_a-c)*c^4-a^3/(a-c)^2/(a-b)^2/(_a-a)-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^4-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*b-1/(a-b)^3/(a-c)^3*ln(_a-a)*a^3*c+3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2*c*b-b^3/(b-c)^2/(a-b)^2/(_a-b)+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*a-3/(a-b)^3/(b-c)^3*ln(_a-b)*b^2*a*c+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^4+1/(a-b)^3/(b-c)^3*ln(_a-b)*b^3*c)+_a^2*a0*b*(_a-c^6/(b-c)^2/(a-c)^2/(_a-c)+6*c^5/(b-c)^3/(a-c)^3*ln(_a-c)*a*b-4*c^6/(b-c)^3/(a-c)^3*ln(_a-c)*a-4*c^6/(b-c)^3/(a-c)^3*ln(_a-c)*b+2*c^7/(b-c)^3/(a-c)^3*ln(_a-c)-a^6/(a-c)^2/(a-b)^2/(_a-a)+2*a^7/(a-b)^3/(a-c)^3*ln(_a-a)-4*a^6/(a-b)^3/(a-c)^3*ln(_a-a)*b-4*a^6/(a-b)^3/(a-c)^3*ln(_a-a)*c+6*a^5/(a-b)^3/(a-c)^3*ln(_a-a)*c*b-b^6/(b-c)^2/(a-b)^2/(_a-b)+4*b^6/(a-b)^3/(b-c)^3*ln(_a-b)*a-6*b^5/(a-b)^3/(b-c)^3*ln(_a-b)*a*c-2*b^7/(a-b)^3/(b-c)^3*ln(_a-b)+4*b^6/(a-b)^3/(b-c)^3*ln(_a-b)*c)+_a^2*a0*c*(_a-c^6/(b-c)^2/(a-c)^2/(_a-c)+6*c^5/(b-c)^3/(a-c)^3*ln(_a-c)*a*b-4*c^6/(b-c)^3/(a-c)^3*ln(_a-c)*a-4*c^6/(b-c)^3/(a-c)^3*ln(_a-c)*b+2*c^7/(b-c)^3/(a-c)^3*ln(_a-c)-a^6/(a-c)^2/(a-b)^2/(_a-a)+2*a^7/(a-b)^3/(a-c)^3*ln(_a-a)-4*a^6/(a-b)^3/(a-c)^3*ln(_a-a)*b-4*a^6/(a-b)^3/(a-c)^3*ln(_a-a)*c+6*a^5/(a-b)^3/(a-c)^3*ln(_a-a)*c*b-b^6/(b-c)^2/(a-b)^2/(_a-b)+4*b^6/(a-b)^3/(b-c)^3*ln(_a-b)*a-6*b^5/(a-b)^3/(b-c)^3*ln(_a-b)*a*c-2*b^7/(a-b)^3/(b-c)^3*ln(_a-b)+4*b^6/(a-b)^3/(b-c)^3*ln(_a-b)*c)+_a^2*a*a0*(_a-c^6/(b-c)^2/(a-c)^2/(_a-c)+6*c^5/(b-c)^3/(a-c)^3*ln(_a-c)*a*b-4*c^6/(b-c)^3/(a-c)^3*ln(_a-c)*a-4*c^6/(b-c)^3/(a-c)^3*ln(_a-c)*b+2*c^7/(b-c)^3/(a-c)^3*ln(_a-c)-a^6/(a-c)^2/(a-b)^2/(_a-a)+2*a^7/(a-b)^3/(a-c)^3*ln(_a-a)-4*a^6/(a-b)^3/(a-c)^3*ln(_a-a)*b-4*a^6/(a-b)^3/(a-c)^3*ln(_a-a)*c+6*a^5/(a-b)^3/(a-c)^3*ln(_a-a)*c*b-b^6/(b-c)^2/(a-b)^2/(_a-b)+4*b^6/(a-b)^3/(b-c)^3*ln(_a-b)*a-6*b^5/(a-b)^3/(b-c)^3*ln(_a-b)*a*c-2*b^7/(a-b)^3/(b-c)^3*ln(_a-b)+4*b^6/(a-b)^3/(b-c)^3*ln(_a-b)*c)+2*_a*a*a1*b^3*c*(-c/(b-c)^2/(a-c)^2/(_a-c)+1/(b-c)^3/(a-c)^3*ln(_a-c)*a*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*a*c+1/(b-c)^3/(a-c)^3*ln(_a-c)*c*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^2-a/(a-c)^2/(a-b)^2/(_a-a)-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^2+1/(a-b)^3/(a-c)^3*ln(_a-a)*a*b+1/(a-b)^3/(a-c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b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-4*_a^2*a*a0*c*(-c^5/(b-c)^2/(a-c)^2/(_a-c)+5/(b-c)^3/(a-c)^3*ln(_a-c)*c^4*a*b-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*a-3/(b-c)^3/(a-c)^3*ln(_a-c)*c^5*b+1/(b-c)^3/(a-c)^3*ln(_a-c)*c^6-a^5/(a-c)^2/(a-b)^2/(_a-a)+1/(a-b)^3/(a-c)^3*ln(_a-a)*a^6-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*b-3/(a-b)^3/(a-c)^3*ln(_a-a)*a^5*c+5/(a-b)^3/(a-c)^3*ln(_a-a)*a^4*c*b-b^5/(b-c)^2/(a-b)^2/(_a-b)+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*a-5/(a-b)^3/(b-c)^3*ln(_a-b)*b^4*a*c-1/(a-b)^3/(b-c)^3*ln(_a-b)*b^6+3/(a-b)^3/(b-c)^3*ln(_a-b)*b^5*c)-_a*a*a1*b^3*c^2*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)-_a*a*a1*b^2*c^3*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)+2*_a^2*a^2*a2*b*c^2*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)+_a^2*a^2*a3*b^2*c*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)+_a^2*a*a1*b^2*c^2*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)-2*_a*a^3*a2*b*c^2*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)-_a*a^3*a3*b^2*c*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a)-2*_a*a^2*a2*b*c^3*(-1/(b-c)^2/(a-c)^2/(_a-c)+2/(b-c)^3/(a-c)^3*ln(_a-c)*b-4/(b-c)^3/(a-c)^3*ln(_a-c)*c+2/(b-c)^3/(a-c)^3*ln(_a-c)*a-1/(a-c)^2/(a-b)^2/(_a-a)-4/(a-b)^3/(a-c)^3*ln(_a-a)*a+2/(a-b)^3/(a-c)^3*ln(_a-a)*c+2/(a-b)^3/(a-c)^3*ln(_a-a)*b-1/(b-c)^2/(a-b)^2/(_a-b)+4/(a-b)^3/(b-c)^3*ln(_a-b)*b-2/(a-b)^3/(b-c)^3*ln(_a-b)*c-2/(a-b)^3/(b-c)^3*ln(_a-b)*a))^(1/2),_a = y(x))-x-_C2 = 0]