ODE
\[ y''(x)=(f(x)-2 y(x)) y'(x)+f(x) y(x)^2+g(x) \] ODE Classification
[[_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_xy]]
Book solution method
TO DO
Mathematica ✗
cpu = 0.329277 (sec), leaf count = 0 , could not solve
DSolve[Derivative[2][y][x] == g[x] + f[x]*y[x]^2 + (f[x] - 2*y[x])*Derivative[1][y][x], y[x], x]
Maple ✗
cpu = 1.303 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[y''[x] == g[x] + f[x]*y[x]^2 + (f[x] - 2*y[x])*y'[x],y[x],x]
Mathematica raw output
DSolve[Derivative[2][y][x] == g[x] + f[x]*y[x]^2 + (f[x] - 2*y[x])*Derivative[1][y][x], y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x) = (f(x)-2*y(x))*diff(y(x),x)+g(x)+f(x)*y(x)^2, y(x))
Maple raw output
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