ODE No. 1771

\[ x^2 (y(x)+x) y''(x)-\left (x y'(x)-y(x)\right )^2=0 \]

✓ Mathematica : cpu = 0.0900344 (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 = 0.197 (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))

\[y \left (x \right ) = -\frac {x \left (-{\mathrm e}^{\frac {c_{1}}{x}} {\mathrm e}^{-1}+c_{2} \right )}{c_{2}}\]