2.232   ODE No. 232

\[ x^2+x y(x) y'(x)+y(x)^2=0 \] Mathematica : cpu = 0.0789555 (sec), leaf count = 56


\[\left \{\left \{y(x)\to -\frac {\sqrt {-x^4+2 c_1}}{\sqrt {2} x}\right \},\left \{y(x)\to \frac {\sqrt {-x^4+2 c_1}}{\sqrt {2} x}\right \}\right \}\] Maple : cpu = 0.024 (sec), leaf count = 39


\[y \relax (x ) = -\frac {\sqrt {-2 x^{4}+4 c_{1}}}{2 x}\]