3.685   ODE No. 685

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)+\ln \left((1+x)(x-1)\right)x^3+7\ln \left((1+x)(x-1)\right)x{\left(y\left(x\right)\right)}^2}{x}=0}}$$

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

Mathematica: cpu = 0.039005 (sec), leaf count = 87 $$\left\{\{y(x)\to \frac{x\tan \left(\frac{1}{2}(2\sqrt{7}{c}_1-\sqrt{7}{x}^2+\sqrt{7}{x}^2\log (x-1)+\sqrt{7}{x}^2\log (x+1)-\sqrt{7}\log (1-x)-\sqrt{7}\log (x+1))\right)}{\sqrt{7}}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 48 $$\{y\left(x\right)=\frac{x\sqrt{7}}{7}\tan \left(\frac{(x^2\ln \left((1+x)(x-1)\right)-x^2-\ln \left((1+x)(x-1)\right)+2\mathit{\_}\mathit{C}\mathit{1}+1)\sqrt{7}}{2}\right)\}$$