\[ -x^4+x^2 y'(x)^2+\left (1-x^2\right ) y(x)^2-2 x y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.0642821 (sec), leaf count = 26
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]
\[\{\{y(x)\to -x \sinh (x-c_1)\},\{y(x)\to x \sinh (x+c_1)\}\}\] ✓ Maple : cpu = 3.914 (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))
\[y \left (x \right ) = -i x\]