2.1702   ODE No. 1702

1. Problem in Latex
2. Mathematica input
3. Maple input

$$e^{2x}(ay(x{)}^4+b)+e^{x}y(x)(cy(x{)}^2+d)+y(x)y^{″}(x)-y^{\prime }(x{)}^2=0$$ ✗ Mathematica : cpu = 6.63651 (sec), leaf count = 0 , could not solve

DSolve[E^x*y[x]*(d + c*y[x]^2) + E^(2*x)*(b + a*y[x]^4) - Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+exp(x)*y(x)*(c*y(x)^2+d)+exp(2*x)*(b+a*y(x)^4)=0,y(x))