2.782   ODE No. 782

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

\[ y'(x)=\frac {y(x) \coth \left (\frac {1}{x}\right ) \left (x^2 y(x) \log \left (\frac {x^2+1}{x}\right )-x \log \left (\frac {x^2+1}{x}\right )-\tanh \left (\frac {1}{x}\right )\right )}{x} \] Mathematica : cpu = 300.09 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.51 (sec), leaf count = 92

\[ \left \{ y \left ( x \right ) ={1{{\rm e}^{\int \!-{\frac {1}{x\tanh \left ( {x}^{-1} \right ) } \left ( \ln \left ( {\frac {{x}^{2}+1}{x}} \right ) x+\tanh \left ( {x}^{-1} \right ) \right ) }\,{\rm d}x}} \left ( \int \!-{\frac {x}{\tanh \left ( {x}^{-1} \right ) }{{\rm e}^{\int \!-{\frac {1}{x\tanh \left ( {x}^{-1} \right ) } \left ( \ln \left ( {\frac {{x}^{2}+1}{x}} \right ) x+\tanh \left ( {x}^{-1} \right ) \right ) }\,{\rm d}x}}\ln \left ( {\frac {{x}^{2}+1}{x}} \right ) }\,{\rm d}x+{\it \_C1} \right ) ^{-1}} \right \} \]