4.36.29 $y^{″}(x)=f(x)+g(x)y(x)+2y(x{)}^3$

ODE
$$y^{″}(x)=f(x)+g(x)y(x)+2y(x{)}^3$$ ODE Classification

[NONE]

Book solution method
TO DO

Mathematica ✗
cpu = 2.0844 (sec), leaf count = 0 , could not solve

DSolve[Derivative[2][y][x] == f[x] + g[x]*y[x] + 2*y[x]^3, y[x], x]

Maple ✗
cpu = 0.428 (sec), leaf count = 0 , could not solve

dsolve(diff(diff(y(x),x),x) = f(x)+g(x)*y(x)+2*y(x)^3, y(x),'implicit')

Mathematica raw input

DSolve[y''[x] == f[x] + g[x]*y[x] + 2*y[x]^3,y[x],x]

Mathematica raw output

DSolve[Derivative[2][y][x] == f[x] + g[x]*y[x] + 2*y[x]^3, y[x], x]

Maple raw input

dsolve(diff(diff(y(x),x),x) = f(x)+g(x)*y(x)+2*y(x)^3, y(x),'implicit')

Maple raw output

dsolve(diff(diff(y(x),x),x) = f(x)+g(x)*y(x)+2*y(x)^3, y(x),'implicit')