2.796   ODE No. 796

y(x)=e3x22xy(x)33(e3x22y(x)+3e3x22+3y(x))

Mathematica : cpu = 7.62071 (sec), leaf count = 109

DSolve[Derivative[1][y][x] == (x*y[x]^3)/(3*E^((3*x^2)/2)*(3*E^((3*x^2)/2) + 3*y[x] + E^((3*x^2)/2)*y[x])),y[x],x]
 
Solve[162(31log(9e3x22(y(x)+3)y(x)+3e3x2(y(x)+3)2y(x)2)+693tanh1(331(2e3x22(y(x)+3)+3y(x))y(x))+62log(e3x22))+log(y(x))=c1,y(x)]

Maple : cpu = 1.664 (sec), leaf count = 143

dsolve(diff(y(x),x) = 1/3*y(x)^3*x*exp(3*x^2)/(3*exp(3/2*x^2)+exp(3/2*x^2)*y(x)+3*y(x))/exp(9/2*x^2),y(x))
 
y(x)=RootOf((7e3x2+RootOf(e3x2(4293tanh((c15_Z)9390)e3x2+_Z+217tanh((c15_Z)9390)2e3x2+_Z+189e3x2+_Z93tanh((c15_Z)9390)2+93))+9e3x2+27e3x223)_Z2+81+(54e3x22+81)_Z)e3x22