3.776   ODE No. 776

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)}{x\ln \left(x^{-1}\right)}(-\ln \left(x^{-1}\right)-\ln \left(\frac{x^2+1}{x}\right)x+\ln \left(\frac{x^2+1}{x}\right)x^{2}y\left(x\right))=0}}$$

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.234 (sec), leaf count = 92 $$\{y\left(x\right)=1{\mathrm{e}}^{\int -\frac{1}{x\ln \left(x^{-1}\right)}(\ln \left(\frac{x^2+1}{x}\right)x+\ln \left(x^{-1}\right))\mathrm{d}x}{(\int -\frac{x}{\ln \left(x^{-1}\right)}{\mathrm{e}}^{\int -\frac{1}{x\ln \left(x^{-1}\right)}(\ln \left(\frac{x^2+1}{x}\right)x+\ln \left(x^{-1}\right))\mathrm{d}x}\ln \left(\frac{x^2+1}{x}\right)\mathrm{d}x+\mathit{\_}\mathit{C}\mathit{1})}^{-1}\}$$