2.704   ODE No. 704

\[ y'(x)=\frac {2 a x^3 y(x)^2+2 b x^5-y(x)+x y(x) \log (x)}{x (x \log (x)-1)} \] Mathematica : cpu = 7.64759 (sec), leaf count = 66


\[\left \{\left \{y(x)\to \frac {\sqrt {b} x \tan \left (\sqrt {a} \sqrt {b} \int _1^x\frac {2 K[1]^3}{K[1] \log (K[1])-1}dK[1]+\sqrt {a} \sqrt {b} c_1\right )}{\sqrt {a}}\right \}\right \}\] Maple : cpu = 0.072 (sec), leaf count = 38


\[y \relax (x ) = \frac {\tan \left (2 \sqrt {a b}\, \left (c_{1}+\int \frac {x^{3}}{x \ln \relax (x )-1}d x \right )\right ) x \sqrt {a b}}{a}\]