2.986   ODE No. 986

\[ y'(x)=\frac {-x^3 \log ^3(x)+3 x^2 y(x) \log ^2(x)+x^2+y(x)^3+x y(x)-3 x y(x)^2 \log (x)}{x^2} \] Mathematica : cpu = 0.117719 (sec), leaf count = 44


\[\left \{\left \{y(x)\to x \log (x)-\frac {x}{\sqrt {-2 x+c_1}}\right \},\left \{y(x)\to x \log (x)+\frac {x}{\sqrt {-2 x+c_1}}\right \}\right \}\] Maple : cpu = 0.04 (sec), leaf count = 36


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