ODE
\[ y''(x)+y(x) y'(x)=12 f'(x)-12 f(x) y(x)+y(x)^3 \] ODE Classification
(ODEtools/info) missing specification of intermediate function
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TO DO
Mathematica ✗
cpu = 2.39128 (sec), leaf count = 0 , could not solve
DSolve[y[x]*Derivative[1][y][x] + Derivative[2][y][x] == -12*f[x]*y[x] + y[x]^3 + 12*Derivative[1][f][x], y[x], x]
Maple ✗
cpu = 0.497 (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x)+y(x)*diff(y(x),x) = 12*diff(f(x),x)-12*f(x)*y(x)+y(x)^3, y(x),'implicit')
Mathematica raw input
DSolve[y[x]*y'[x] + y''[x] == -12*f[x]*y[x] + y[x]^3 + 12*f'[x],y[x],x]
Mathematica raw output
DSolve[y[x]*Derivative[1][y][x] + Derivative[2][y][x] == -12*f[x]*y[x] + y[x]^3 + 12*Derivative[1][f][x], y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)+y(x)*diff(y(x),x) = 12*diff(f(x),x)-12*f(x)*y(x)+y(x)^3, y(x),'implicit')
Maple raw output
dsolve(diff(diff(y(x),x),x)+y(x)*diff(y(x),x) = 12*diff(f(x),x)-12*f(x)*y(x)+y(x)^3, y(x),'implicit')