2.786   ODE No. 786

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)=\frac {a x y(x)^2 \cosh (x)+b x^3 \cosh (x)+y(x) \log (x)}{x \log (x)} \] Mathematica : cpu = 4.45865 (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 = 0.089 (sec), leaf count = 33

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