3.704   ODE No. 704

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)\ln \left(x\right)x-y\left(x\right)+2x^{5}b+2x^{3}a{\left(y\left(x\right)\right)}^2}{(x\ln \left(x\right)-1)x}=0}}$$

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

Mathematica: cpu = 240.336019 (sec), leaf count = 65 $$\left\{\{y(x)\to \frac{\sqrt{b}x\tan (\sqrt{a}\sqrt{b}{\int }_1^x\frac{2K[1{]}^3}{K[1]\log (K[1])-1}dK[1]+\sqrt{a}\sqrt{b}{c}_1)}{\sqrt{a}}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 45 $$\{y\left(x\right)=\frac{x}{a}\tan (2\int \frac{x^3}{x\ln \left(x\right)-1}\mathrm{d}x\sqrt{ab}+2\mathit{\_}\mathit{C}\mathit{1}\sqrt{ab})\sqrt{ab}\}$$