2.790   ODE No. 790

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

\[ y'(x)=\frac {x^4 \coth \left (\frac {x+1}{x-1}\right )-2 x^2 y(x) \coth \left (\frac {x+1}{x-1}\right )+y(x)^2 \coth \left (\frac {x+1}{x-1}\right )+2 x \log \left (\frac {1}{x-1}\right )-\coth \left (\frac {x+1}{x-1}\right )}{\log \left (\frac {1}{x-1}\right )} \] Mathematica : cpu = 300.005 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(diff(y(x),x) = (2*x*ln(1/(x-1))-coth((1+x)/(x-1))+coth((1+x)/(x-1))*y(x)^2-2*coth((1+x)/(x-1))*x^2*y(x)+coth((1+x)/(x-1))*x^4)/ln(1/(x-1)),y(x))