2.782   ODE No. 782

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

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

$Aborted

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

$$\{y\left(x\right)=1{\mathrm{e}}^{\int -\frac{1}{x\tanh \left(x^{-1}\right)}(\ln \left(\frac{x^2+1}{x}\right)x+\tanh \left(x^{-1}\right))\mathrm{d}x}{(\int -\frac{x}{\tanh \left(x^{-1}\right)}{\mathrm{e}}^{\int -\frac{1}{x\tanh \left(x^{-1}\right)}(\ln \left(\frac{x^2+1}{x}\right)x+\tanh \left(x^{-1}\right))\mathrm{d}x}\ln \left(\frac{x^2+1}{x}\right)\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})}^{-1}\}$$