\[ -y(x) f'(x)+f(x) y'(x)+y(x) y''(x)-y'(x)^2-y(x)^3=0 \] ✓ Mathematica : cpu = 0.279539 (sec), leaf count = 252
DSolve[-y[x]^3 - y[x]*Derivative[1][f][x] + f[x]*Derivative[1][y][x] - Derivative[1][y][x]^2 + y[x]*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to -\frac {\exp \left (c_2-\int _1^x\frac {y(K[3])^3+c_1{}^2 y(K[3])^2+\int _1^{K[3]}\frac {-y(K[1])^3-f'(K[1]) y(K[1])+f(K[1]) y'(K[1])}{y(K[1])^2}dK[1]{}^2 y(K[3])^2+2 c_1 \int _1^{K[3]}\frac {-y(K[1])^3-f'(K[1]) y(K[1])+f(K[1]) y'(K[1])}{y(K[1])^2}dK[1] y(K[3])^2+f'(K[3]) y(K[3])-f(K[3]) y'(K[3])}{y(K[3])^2 \left (c_1+\int _1^{K[3]}\frac {-y(K[1])^3-f'(K[1]) y(K[1])+f(K[1]) y'(K[1])}{y(K[1])^2}dK[1]\right )}dK[3]\right )}{\int _1^x\frac {-y(K[1])^3-f'(K[1]) y(K[1])+f(K[1]) y'(K[1])}{y(K[1])^2}dK[1]+c_1}\right \}\right \}\] ✗ Maple : cpu = 0. (sec), leaf count = 0
dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+f(x)*diff(y(x),x)-diff(f(x),x)*y(x)-y(x)^3=0,y(x))
, could not solve
dsolve(diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+f(x)*diff(y(x),x)-diff(f(x),x)*y(x)-y(x)^3=0,y(x))