2.785   ODE No. 785

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

\[ y'(x)=\frac {x^2 \sinh (x)+2 x y(x) \sinh (x)+y(x)^2 \sinh (x)-\log (x)+\sinh (x)}{\log (x)} \] Mathematica : cpu = 7.44776 (sec), leaf count = 29

\[\left \{\left \{y(x)\to -x+\tan \left (\int _1^x\frac {\sinh (K[5])}{\log (K[5])}dK[5]+c_1\right )\right \}\right \}\] Maple : cpu = 46.047 (sec), leaf count = 24

\[ \left \{ y \left ( x \right ) =-x-\tan \left ( {\it \_C1}-\int \!{\frac {\sinh \left ( x \right ) }{\ln \left ( x \right ) }}\,{\rm d}x \right ) \right \} \]