\[ -x^4+x^2 y'(x)^2+\left (1-x^2\right ) y(x)^2-2 x y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.0814495 (sec), leaf count = 62
DSolve[-x^4 + (1 - x^2)*y[x]^2 - 2*x*y[x]*Derivative[1][y][x] + x^2*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{2} x e^{-x-c_1} \left (-1+e^{2 x+2 c_1}\right )\right \},\left \{y(x)\to \frac {1}{2} \left (x e^{-x+c_1}-x e^{x-c_1}\right )\right \}\right \}\] ✓ Maple : cpu = 0.74 (sec), leaf count = 61
dsolve(x^2*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)+y(x)^2*(-x^2+1)-x^4 = 0,y(x))
\[y \left (x \right ) = -i x\]