\[ x \left (a y(x)^4+d\right )+y(x) \left (b y(x)^2+c\right )+x y(x) y''(x)-x y'(x)^2+y(x) y'(x)=0 \] ✗ Mathematica : cpu = 1.53744 (sec), leaf count = 0 , could not solve
DSolve[y[x]*(c + b*y[x]^2) + x*(d + a*y[x]^4) + y[x]*Derivative[1][y][x] - x*Derivative[1][y][x]^2 + x*y[x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(x*y(x)*diff(diff(y(x),x),x)-x*diff(y(x),x)^2+y(x)*diff(y(x),x)+x*(d+a*y(x)^4)+y(x)*(c+b*y(x)^2)=0,y(x))