\[ x^2 (y(x)+x) y''(x)-\left (x y'(x)-y(x)\right )^2=0 \] ✓ Mathematica : cpu = 0.106334 (sec), leaf count = 21
DSolve[-(-y[x] + x*Derivative[1][y][x])^2 + x^2*(x + y[x])*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to -x+c_2 x e^{\frac {c_1}{x}}\right \}\right \}\] ✓ Maple : cpu = 1.038 (sec), leaf count = 22
dsolve(x^2*(y(x)+x)*diff(diff(y(x),x),x)-(x*diff(y(x),x)-y(x))^2=0,y(x))
\[y \left (x \right ) = -\frac {x \left (-{\mathrm e}^{-1} {\mathrm e}^{\frac {c_{2}}{x}}+c_{1}\right )}{c_{1}}\]