ODE
\[ x y'(x)^3+(2 x-y(x)) y'(x)^2+(2-2 y(x)) y'(x)-y(x)+1=0 \] ODE Classification
[_dAlembert]
Book solution method
Clairaut’s equation and related types, \(f(y-x y', y')=0\)
Mathematica ✓
cpu = 494.975 (sec), leaf count = 107
\[\text {Solve}\left [\left \{\sqrt {2 \pi } e^{\frac {1}{2} (K[1]+2)^2} (K[1]+1)^2 \text {erf}\left (\frac {K[1]+2}{\sqrt {2}}\right )+2 \left (K[1]+c_1 \left (-e^{\frac {1}{2} (K[1]+1)^2+K[1]}\right ) (K[1]+1)^2+x\right )=0,y(x)=\frac {x K[1]^3+2 x K[1]^2+2 K[1]+1}{(K[1]+1)^2}\right \},\{y(x),K[1]\}\right ]\]
Maple ✓
cpu = 2.686 (sec), leaf count = 22661
\[\text {result too large to display}\] Mathematica raw input
DSolve[1 - y[x] + (2 - 2*y[x])*y'[x] + (2*x - y[x])*y'[x]^2 + x*y'[x]^3 == 0,y[x],x]
Mathematica raw output
Solve[{E^((2 + K[1])^2/2)*Sqrt[2*Pi]*Erf[(2 + K[1])/Sqrt[2]]*(1 + K[1])^2 + 2*(x + K[1] - E^(K[1] + (1 + K[1])^2/2)*C[1]*(1 + K[1])^2) == 0, y[x] == (1 + 2*K[1] + 2*x*K[1]^2 + x*K[1]^3)/(1 + K[1])^2}, {y[x], K[1]}]
Maple raw input
dsolve(x*diff(y(x),x)^3+(2*x-y(x))*diff(y(x),x)^2+(2-2*y(x))*diff(y(x),x)+1-y(x) = 0, y(x))
Maple raw output
[y(x) = 1, ((-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)+36*x^2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+24*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x*y(x)+12*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*y(x)^2+64*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)+48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2+16*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3+240*x^3*y(x)+528*x^2*y(x)^2+192*x*y(x)^3+48*y(x)^4+48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x^2+48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x*y(x)-48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)-624*x^3-528*x^2*y(x)-480*x*y(x)^2+576*x^2)/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*_C1*exp(1/72*((-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-4*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)^2/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+1/3*((-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-4*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3))+x-1/36*((-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)+36*x^2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+24*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x*y(x)+12*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*y(x)^2+64*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)+48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2+16*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3+240*x^3*y(x)+528*x^2*y(x)^2+192*x*y(x)^3+48*y(x)^4+48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x^2+48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x*y(x)-48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)-624*x^3-528*x^2*y(x)-480*x*y(x)^2+576*x^2)*Intat(-2/(_a+1)^3*exp(-1/2*_a^2-2*_a),_a = 1/6*((-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-4*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3))/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*exp(1/72*((-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-4*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)^2/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+1/3*((-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-4*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)) = 0, (528*x^2*y(x)^2+192*x*y(x)^3+240*x^3*y(x)-480*x*y(x)^2-528*x^2*y(x)+48*y(x)^4+48*I*3^(1/2)*y(x)^4+144*I*x^2*(-32*x^3*y(x)-13*x^2*y(x)^2-4*x*y(x)^3+32*x^3+74*x^2*y(x)+16*x*y(x)^2+4*y(x)^3-61*x^2-44*x*y(x)-4*y(x)^2+32*x)^(1/2)+576*x^2-624*x^3+144*I*x*y(x)*(-32*x^3*y(x)-13*x^2*y(x)^2-4*x*y(x)^3+32*x^3+74*x^2*y(x)+16*x*y(x)^2+4*y(x)^3-61*x^2-44*x*y(x)-4*y(x)^2+32*x)^(1/2)+240*I*3^(1/2)*x^3*y(x)+528*I*3^(1/2)*x^2*y(x)^2+192*I*3^(1/2)*x*y(x)^3+96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2-528*I*3^(1/2)*x^2*y(x)-480*I*3^(1/2)*x*y(x)^2-64*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3-16*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3-624*I*3^(1/2)*x^3+576*I*3^(1/2)*x^2+(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)-72*x^2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-24*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*y(x)^2+64*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3+16*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3+48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x^2+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2-48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x*y(x)+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)+48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2+48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x*y(x)-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)-I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)-96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)-48*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2+96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x))/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*_C1*exp(1/288*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x+(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)-4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)^2/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-1/6*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x+(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)-4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3))+x+1/72*(528*x^2*y(x)^2+192*x*y(x)^3+240*x^3*y(x)-480*x*y(x)^2-528*x^2*y(x)+48*y(x)^4+48*I*3^(1/2)*y(x)^4+144*I*x^2*(-32*x^3*y(x)-13*x^2*y(x)^2-4*x*y(x)^3+32*x^3+74*x^2*y(x)+16*x*y(x)^2+4*y(x)^3-61*x^2-44*x*y(x)-4*y(x)^2+32*x)^(1/2)+576*x^2-624*x^3+144*I*x*y(x)*(-32*x^3*y(x)-13*x^2*y(x)^2-4*x*y(x)^3+32*x^3+74*x^2*y(x)+16*x*y(x)^2+4*y(x)^3-61*x^2-44*x*y(x)-4*y(x)^2+32*x)^(1/2)+240*I*3^(1/2)*x^3*y(x)+528*I*3^(1/2)*x^2*y(x)^2+192*I*3^(1/2)*x*y(x)^3+96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2-528*I*3^(1/2)*x^2*y(x)-480*I*3^(1/2)*x*y(x)^2-64*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3-16*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3-624*I*3^(1/2)*x^3+576*I*3^(1/2)*x^2+(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)-72*x^2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-24*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*y(x)^2+64*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3+16*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3+48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x^2+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2-48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x*y(x)+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)+48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2+48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x*y(x)-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)-I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)-96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)-48*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2+96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x))*Intat(-2/(_a+1)^3*exp(-1/2*_a^2-2*_a),_a = -1/12*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x+(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)-4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3))/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*exp(1/288*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x+(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)-4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)^2/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-1/6*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x+(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)-4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)+16*x^2+8*x*y(x)+4*y(x)^2-24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)) = 0, (-528*x^2*y(x)^2-192*x*y(x)^3-240*x^3*y(x)+480*x*y(x)^2+528*x^2*y(x)-48*y(x)^4+48*I*3^(1/2)*y(x)^4+144*I*x^2*(-32*x^3*y(x)-13*x^2*y(x)^2-4*x*y(x)^3+32*x^3+74*x^2*y(x)+16*x*y(x)^2+4*y(x)^3-61*x^2-44*x*y(x)-4*y(x)^2+32*x)^(1/2)-576*x^2+624*x^3+144*I*x*y(x)*(-32*x^3*y(x)-13*x^2*y(x)^2-4*x*y(x)^3+32*x^3+74*x^2*y(x)+16*x*y(x)^2+4*y(x)^3-61*x^2-44*x*y(x)-4*y(x)^2+32*x)^(1/2)+240*I*3^(1/2)*x^3*y(x)+528*I*3^(1/2)*x^2*y(x)^2+192*I*3^(1/2)*x*y(x)^3+96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2-528*I*3^(1/2)*x^2*y(x)-480*I*3^(1/2)*x*y(x)^2-64*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3-16*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3-624*I*3^(1/2)*x^3+576*I*3^(1/2)*x^2-(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)+72*x^2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+24*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*y(x)^2-64*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3-16*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3-48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x^2-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2+48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x*y(x)-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)-48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2-48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x*y(x)+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)-I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)-96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)-48*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2+96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x))/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*_C1*exp(1/288*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x-(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)-16*x^2-8*x*y(x)-4*y(x)^2+24*x)^2/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+1/6*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x-(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)-16*x^2-8*x*y(x)-4*y(x)^2+24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3))+x-1/72*(-528*x^2*y(x)^2-192*x*y(x)^3-240*x^3*y(x)+480*x*y(x)^2+528*x^2*y(x)-48*y(x)^4+48*I*3^(1/2)*y(x)^4+144*I*x^2*(-32*x^3*y(x)-13*x^2*y(x)^2-4*x*y(x)^3+32*x^3+74*x^2*y(x)+16*x*y(x)^2+4*y(x)^3-61*x^2-44*x*y(x)-4*y(x)^2+32*x)^(1/2)-576*x^2+624*x^3+144*I*x*y(x)*(-32*x^3*y(x)-13*x^2*y(x)^2-4*x*y(x)^3+32*x^3+74*x^2*y(x)+16*x*y(x)^2+4*y(x)^3-61*x^2-44*x*y(x)-4*y(x)^2+32*x)^(1/2)+240*I*3^(1/2)*x^3*y(x)+528*I*3^(1/2)*x^2*y(x)^2+192*I*3^(1/2)*x*y(x)^3+96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2-528*I*3^(1/2)*x^2*y(x)-480*I*3^(1/2)*x*y(x)^2-64*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3-16*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3-624*I*3^(1/2)*x^3+576*I*3^(1/2)*x^2-(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)+72*x^2*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+24*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*y(x)^2-64*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^3-16*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)^3-48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x^2-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2+48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*x*y(x)-96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)-48*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2-48*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x*y(x)+96*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)-I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(4/3)-96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x^2*y(x)-48*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x)^2+96*I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*x*y(x))*Intat(-2/(_a+1)^3*exp(-1/2*_a^2-2*_a),_a = 1/12*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x-(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)-16*x^2-8*x*y(x)-4*y(x)^2+24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3))/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)*exp(1/288*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x-(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)-16*x^2-8*x*y(x)-4*y(x)^2+24*x)^2/x^2/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)+1/6*(I*3^(1/2)*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-16*I*3^(1/2)*x^2-8*I*3^(1/2)*x*y(x)-4*I*3^(1/2)*y(x)^2+24*I*3^(1/2)*x-(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(2/3)-8*x*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)+4*(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)*y(x)-16*x^2-8*x*y(x)-4*y(x)^2+24*x)/x/(-64*x^3+60*x^2*y(x)+24*x*y(x)^2+8*y(x)^3+12*(-96*x^3*y(x)-39*x^2*y(x)^2-12*x*y(x)^3+96*x^3+222*x^2*y(x)+48*x*y(x)^2+12*y(x)^3-183*x^2-132*x*y(x)-12*y(x)^2+96*x)^(1/2)*x+36*x^2-72*x*y(x))^(1/3)) = 0]