ODE
\[ y''(x)=f(x)+g(x) y(x)+2 y(x)^3 \] ODE Classification
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Book solution method
TO DO
Mathematica ✗
cpu = 20.6831 (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 = 0.486 (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))
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))
Maple raw output
dsolve(diff(diff(y(x),x),x) = f(x)+g(x)*y(x)+2*y(x)^3, y(x))