3.901   ODE No. 901

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

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

Mathematica: cpu = 0.089511 (sec), leaf count = 33 $$\text{Solve}[ax\log (y(x))-\frac{x^2}{2}-y(x)\log (x)-y(x)\log (y(x))=c_1,y(x)]$$

Maple: cpu = 0.343 (sec), leaf count = 30 $$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-2\mathit{\_}\mathit{Z}ax+2\ln \left(x\right){\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2\mathit{\_}\mathit{C}\mathit{1}a+x^2)}\}$$