3.651   ODE No. 651

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

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

Mathematica: cpu = 0.037505 (sec), leaf count = 16 $$\left\{\{y(x)\to e^{2c_{1}x+x^2}\}\right\}$$

Maple: cpu = 0.047 (sec), leaf count = 13 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{\_}\mathit{C}\mathit{1}x}{\mathrm{e}}^{x^2}\}$$