2.481   ODE No. 481

\[ \left (x^2+y(x)^2\right ) y'(x)+x y(x) y'(x)^2+x y(x)=0 \] Mathematica : cpu = 0.0266205 (sec), leaf count = 49


\[\left \{\left \{y(x)\to \frac {c_1}{x}\right \},\left \{y(x)\to -\sqrt {-x^2+2 c_1}\right \},\left \{y(x)\to \sqrt {-x^2+2 c_1}\right \}\right \}\] Maple : cpu = 0.037 (sec), leaf count = 35


\[y \relax (x ) = \frac {c_{1}}{x}\]