2.637   ODE No. 637

y(x)=ex2xex2y(x)+1

Mathematica : cpu = 7.08779 (sec), leaf count = 62

DSolve[Derivative[1][y][x] == x/(E^x^2*(1 + E^x^2*y[x])),y[x],x]
 
Solve[14log(2e2x2y(x)2+2ex2y(x)+1)12tan1(2ex2y(x)+1)+12log(ex2)=c1,y(x)]

Maple : cpu = 0.18 (sec), leaf count = 84

dsolve(diff(y(x),x) = 1/(y(x)*exp(x^2)+1)*exp(-x^2)*x,y(x))
 
y(x)=tan(RootOf(2x2ln(81tan(_Z)210+8110)+2ln(9tan(_Z)292)+6c12_Z))ex2tan(RootOf(2x2ln(81tan(_Z)210+8110)+2ln(9tan(_Z)292)+6c12_Z))1