\[ (y(x)-1)^3 \left (a y(x)^2+b\right )+c x y(x)^2 (y(x)-1)+d x^2 y(x)^2 (y(x)+1)+2 x^2 y(x) (y(x)-1) y''(x)-x^2 (3 y(x)-1) y'(x)^2+2 x y(x) (y(x)-1) y'(x)=0 \] ✗ Mathematica : cpu = 14.7708 (sec), leaf count = 0 , could not solve
DSolve[c*x*(-1 + y[x])*y[x]^2 + d*x^2*y[x]^2*(1 + y[x]) + (-1 + y[x])^3*(b + a*y[x]^2) + 2*x*(-1 + y[x])*y[x]*Derivative[1][y][x] - x^2*(-1 + 3*y[x])*Derivative[1][y][x]^2 + 2*x^2*(-1 + y[x])*y[x]*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(2*x^2*y(x)*(-1+y(x))*diff(diff(y(x),x),x)-x^2*(3*y(x)-1)*diff(y(x),x)^2+2*x*y(x)*(-1+y(x))*diff(y(x),x)+(a*y(x)^2+b)*(-1+y(x))^3+c*x*y(x)^2*(-1+y(x))+d*x^2*y(x)^2*(1+y(x))=0,y(x))