3.679   ODE No. 679

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)+x^3\ln \left(x\right)+x^4+x^3+7x{\left(y\left(x\right)\right)}^2\ln \left(x\right)+7x^2{\left(y\left(x\right)\right)}^2+7x{\left(y\left(x\right)\right)}^2}{x}=0}}$$

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

Mathematica: cpu = 0.035505 (sec), leaf count = 59 $$\left\{\{y(x)\to \frac{x\tan \left(\frac{1}{12}(12\sqrt{7}{c}_1+4\sqrt{7}{x}^3+3\sqrt{7}{x}^2+6\sqrt{7}{x}^2\log (x))\right)}{\sqrt{7}}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 37 $$\{y\left(x\right)=\frac{x\sqrt{7}}{7}\tan \left(\frac{(6x^2\ln \left(x\right)+4x^3+3x^2+12\mathit{\_}\mathit{C}\mathit{1})\sqrt{7}}{12}\right)\}$$