2.332   ODE No. 332

\[ x \left (\sqrt {x y(x)}-1\right ) y'(x)-y(x) \left (\sqrt {x y(x)}+1\right )=0 \] Mathematica : cpu = 0.277196 (sec), leaf count = 34


\[\text {Solve}\left [\log (y(x))-\frac {y(x) \log (x)-\frac {2 y(x)}{\sqrt {x y(x)}}}{y(x)}=c_1,y(x)\right ]\] Maple : cpu = 0.016 (sec), leaf count = 33


\[-\frac {1+\left (c_{1}-\ln \relax (x )+\frac {\ln \left (x y \relax (x )\right )}{2}\right ) \sqrt {x y \relax (x )}}{\sqrt {x y \relax (x )}} = 0\]