2.786   ODE No. 786

\[ y'(x)=\frac {a x y(x)^2 \cosh (x)+b x^3 \cosh (x)+y(x) \log (x)}{x \log (x)} \] Mathematica : cpu = 4.03671 (sec), leaf count = 61


\[\left \{\left \{y(x)\to \frac {\sqrt {b} x \tan \left (\sqrt {a} \sqrt {b} \int _1^x\frac {\cosh (K[1]) K[1]}{\log (K[1])}dK[1]+\sqrt {a} \sqrt {b} c_1\right )}{\sqrt {a}}\right \}\right \}\] Maple : cpu = 0.086 (sec), leaf count = 33


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