\[ (a+2) f(x) y(x)^2 y'(x)+a y(x) y''(x)+a y(x)^3 y'(x)-(a-1) y'(x)^2+f(x)^2 y(x)^4=0 \] ✗ Mathematica : cpu = 1.00537 (sec), leaf count = 0 , could not solve
DSolve[f[x]^2*y[x]^4 + (2 + a)*f[x]*y[x]^2*Derivative[1][y][x] + a*y[x]^3*Derivative[1][y][x] - (-1 + a)*Derivative[1][y][x]^2 + a*y[x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(a*y(x)*diff(diff(y(x),x),x)-(a-1)*diff(y(x),x)^2+(a+2)*f(x)*y(x)^2*diff(y(x),x)+f(x)^2*y(x)^4+a*diff(f(x),x)*y(x)^3=0,y(x))