ODE
\[ y''(x)+3 y(x) y'(x)=f(x)+g(x) y(x)-y(x)^3 \] ODE Classification
[NONE]
Book solution method
TO DO
Mathematica ✗
cpu = 3.60473 (sec), leaf count = 0 , could not solve
DSolve[3*y[x]*Derivative[1][y][x] + Derivative[2][y][x] == f[x] + g[x]*y[x] - y[x]^3, y[x], x]
Maple ✗
cpu = 0.022 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[3*y[x]*y'[x] + y''[x] == f[x] + g[x]*y[x] - y[x]^3,y[x],x]
Mathematica raw output
DSolve[3*y[x]*Derivative[1][y][x] + Derivative[2][y][x] == f[x] + g[x]*y[x] - y[x]^3, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)+3*y(x)*diff(y(x),x) = f(x)+g(x)*y(x)-y(x)^3, y(x))
Maple raw output
[]