\[ y'(x)=\frac {y(x) \left (x^3 y(x) \cosh \left (\frac {x+1}{x-1}\right )+x^2 y(x) \cosh \left (\frac {x+1}{x-1}\right )-x^2 \cosh \left (\frac {x+1}{x-1}\right )-x \cosh \left (\frac {x+1}{x-1}\right )-1\right )}{x} \] ✓ Mathematica : cpu = 2.06017 (sec), leaf count = 146
\[\left \{\left \{y(x)\to \frac {\exp \left (\frac {\left (3 e^2-1\right ) \text {Chi}\left (\frac {2}{x-1}\right )+\left (1+3 e^2\right ) \text {Shi}\left (\frac {2}{x-1}\right )}{e}\right )}{x \left (c_1 \exp \left (\frac {(x-1) \left (\left (-x+e^2 (x+5)-1\right ) \sinh \left (\frac {2}{x-1}\right )+\left (x+e^2 (x+5)+1\right ) \cosh \left (\frac {2}{x-1}\right )\right )}{4 e}\right )+\exp \left (\frac {\left (3 e^2-1\right ) \text {Chi}\left (\frac {2}{x-1}\right )+\left (1+3 e^2\right ) \text {Shi}\left (\frac {2}{x-1}\right )}{e}\right )\right )}\right \}\right \}\]
✓ Maple : cpu = 0.425 (sec), leaf count = 252
\[ \left \{ y \left ( x \right ) ={\frac {1}{x}{{\rm e}^{{\frac {5\,{\rm e}}{4}{{\rm e}^{2\, \left ( x-1 \right ) ^{-1}}}}}}{{\rm e}^{-{\frac {{\rm e}{x}^{2}}{4}{{\rm e}^{2\, \left ( x-1 \right ) ^{-1}}}}}}{{\rm e}^{{\frac {{{\rm e}^{-1}}}{4}{{\rm e}^{-2\, \left ( x-1 \right ) ^{-1}}}}}}{{\rm e}^{{{\rm e}^{-1}}{\it Ei} \left ( 1,2\, \left ( x-1 \right ) ^{-1} \right ) }}{{\rm e}^{-{\frac {{{\rm e}^{-1}}{x}^{2}}{4}{{\rm e}^{-2\, \left ( x-1 \right ) ^{-1}}}}}} \left ( {{\rm e}^{{\rm e}{{\rm e}^{2\, \left ( x-1 \right ) ^{-1}}}x}} \right ) ^{-1} \left ( {{\rm e}^{{\rm e}{\it Ei} \left ( 1,-2\, \left ( x-1 \right ) ^{-1} \right ) }} \right ) ^{-3} \left ( {\it \_C1}+\int \!-{(1+x){{\rm e}^{{\frac {5\,{\rm e}}{4}{{\rm e}^{2\, \left ( x-1 \right ) ^{-1}}}}}}{{\rm e}^{-{\frac {{\rm e}{x}^{2}}{4}{{\rm e}^{2\, \left ( x-1 \right ) ^{-1}}}}}}{{\rm e}^{{\frac {{{\rm e}^{-1}}}{4}{{\rm e}^{-2\, \left ( x-1 \right ) ^{-1}}}}}}{{\rm e}^{{{\rm e}^{-1}}{\it Ei} \left ( 1,2\, \left ( x-1 \right ) ^{-1} \right ) }}{{\rm e}^{-{\frac {{{\rm e}^{-1}}{x}^{2}}{4}{{\rm e}^{-2\, \left ( x-1 \right ) ^{-1}}}}}} \left ( \cosh \left ( \left ( x-1 \right ) ^{-1} \right ) \cosh \left ( {\frac {x}{x-1}} \right ) +\sinh \left ( \left ( x-1 \right ) ^{-1} \right ) \sinh \left ( {\frac {x}{x-1}} \right ) \right ) \left ( {{\rm e}^{{\rm e}{{\rm e}^{2\, \left ( x-1 \right ) ^{-1}}}x}} \right ) ^{-1} \left ( {{\rm e}^{{\rm e}{\it Ei} \left ( 1,-2\, \left ( x-1 \right ) ^{-1} \right ) }} \right ) ^{-3}}\,{\rm d}x \right ) ^{-1}} \right \} \]