\[ x^2 y'(x)^2+\left (1-x^2\right ) y(x)^2-x^4-2 x y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.051786 (sec), leaf count = 26
\[\{\{y(x)\to -x \sinh (x-c_1)\},\{y(x)\to x \sinh (x+c_1)\}\}\] ✓ Maple : cpu = 7.527 (sec), leaf count = 61
\[ \left \{ y \left ( x \right ) =-ix,y \left ( x \right ) =ix,y \left ( x \right ) =-{\frac {x \left ( \left ( {{\rm e}^{x}} \right ) ^{2}-{{\it \_C1}}^{2} \right ) }{2\,{{\rm e}^{x}}{\it \_C1}}},y \left ( x \right ) ={\frac {x \left ( \left ( {{\rm e}^{x}} \right ) ^{2}{{\it \_C1}}^{2}-1 \right ) }{2\,{{\rm e}^{x}}{\it \_C1}}} \right \} \]