ODE No. 136

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

✓ Mathematica : cpu = 0.0643728 (sec), leaf count = 28

DSolve[x^2 + x*y[x] + y[x]^2 + x^2*Derivative[1][y][x] == 0,y[x],x]

\[\left \{\left \{y(x)\to \frac {-x+x \log (x)-c_1 x}{-\log (x)+c_1}\right \}\right \}\]

✓ Maple : cpu = 0.017 (sec), leaf count = 18

dsolve(x^2*diff(y(x),x)+y(x)^2+x*y(x)+x^2 = 0,y(x))

\[y \left (x \right ) = -\frac {x \left (\ln \left (x \right )+c_{1} -1\right )}{\ln \left (x \right )+c_{1}}\]