\[ \left (x^2 y(x)^2-x^2+y(x)^4\right ) y'(x)^2+2 x y(x) y'(x)-y(x)^2=0 \] ✗ Mathematica : cpu = 55.2787 (sec), leaf count = 0 , could not solve
DSolve[-y[x]^2 + 2*x*y[x]*Derivative[1][y][x] + (-x^2 + x^2*y[x]^2 + y[x]^4)*Derivative[1][y][x]^2 == 0, y[x], x]
✓ Maple : cpu = 2.581 (sec), leaf count = 60
\[ \left \{ y \left ( x \right ) =-ix,y \left ( x \right ) =ix,y \left ( x \right ) =-{\it Artanh} \left ( {\it RootOf} \left ( \left ( {\it Artanh} \left ( {\it \_Z} \right ) \right ) ^{2}{{\it \_Z}}^{2}-2\,{\it Artanh} \left ( {\it \_Z} \right ) {\it \_C1}\,{{\it \_Z}}^{2}+{{\it \_C1}}^{2}{{\it \_Z}}^{2}+{{\it \_Z}}^{2}{x}^{2}-{x}^{2} \right ) \right ) +{\it \_C1} \right \} \]