ODE
\[ y(x) \left (f'(x)+2 f(x)^2\right )+3 f(x) y'(x)+y''(x)=2 y(x)^3 \] ODE Classification
(ODEtools/info) missing specification of intermediate function
Book solution method
TO DO
Mathematica ✗
cpu = 4.63901 (sec), leaf count = 0 , could not solve
DSolve[y[x]*(2*f[x]^2 + Derivative[1][f][x]) + 3*f[x]*Derivative[1][y][x] + Derivative[2][y][x] == 2*y[x]^3, y[x], x]
Maple ✗
cpu = 2.683 (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x)+3*f(x)*diff(y(x),x)+(diff(f(x),x)+2*f(x)^2)*y(x) = 2*y(x)^3, y(x),'implicit')
Mathematica raw input
DSolve[y[x]*(2*f[x]^2 + f'[x]) + 3*f[x]*y'[x] + y''[x] == 2*y[x]^3,y[x],x]
Mathematica raw output
DSolve[y[x]*(2*f[x]^2 + Derivative[1][f][x]) + 3*f[x]*Derivative[1][y][x] + Derivative[2][y][x] == 2*y[x]^3, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)+3*f(x)*diff(y(x),x)+(diff(f(x),x)+2*f(x)^2)*y(x) = 2*y(x)^3, y(x),'implicit')
Maple raw output
dsolve(diff(diff(y(x),x),x)+3*f(x)*diff(y(x),x)+(diff(f(x),x)+2*f(x)^2)*y(x) = 2*y(x)^3, y(x),'implicit')