ODE
\[ f(x)^2 y''(x)=y'(x) \left (3 f(x) f'(x)-f(x)^2 y(x)+3 f(x)^3\right )-24 f(x)^4 \] ODE Classification
(ODEtools/info) missing specification of intermediate function
Book solution method
TO DO
Mathematica ✗
cpu = 8.19603 (sec), leaf count = 0 , could not solve
DSolve[f[x]^2*Derivative[2][y][x] == -24*f[x]^4 + (3*f[x]^3 - f[x]^2*y[x] + 3*f[x]*Derivative[1][f][x])*Derivative[1][y][x], y[x], x]
Maple ✗
cpu = 0.367 (sec), leaf count = 0 , could not solve
dsolve(f(x)^2*diff(diff(y(x),x),x) = (3*f(x)^3+3*f(x)*diff(f(x),x)-f(x)^2*y(x))*diff(y(x),x)-24*f(x)^4, y(x),'implicit')
Mathematica raw input
DSolve[f[x]^2*y''[x] == -24*f[x]^4 + (3*f[x]^3 - f[x]^2*y[x] + 3*f[x]*f'[x])*y'[x],y[x],x]
Mathematica raw output
DSolve[f[x]^2*Derivative[2][y][x] == -24*f[x]^4 + (3*f[x]^3 - f[x]^2*y[x] + 3*f[x]*Derivative[1][f][x])*Derivative[1][y][x], y[x], x]
Maple raw input
dsolve(f(x)^2*diff(diff(y(x),x),x) = (3*f(x)^3+3*f(x)*diff(f(x),x)-f(x)^2*y(x))*diff(y(x),x)-24*f(x)^4, y(x),'implicit')
Maple raw output
dsolve(f(x)^2*diff(diff(y(x),x),x) = (3*f(x)^3+3*f(x)*diff(f(x),x)-f(x)^2*y(x))*diff(y(x),x)-24*f(x)^4, y(x),'implicit')