2.901   ODE No. 901

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

$$y^{\prime }(x)=\frac{y(x)(-ax\log (y(x))+x^2+y(x))}{x(ax-y(x)-y(x)\log (x)-y(x)\log (y(x)))}$$ ✓ Mathematica : cpu = 0.519897 (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 = 1.353 (sec), leaf count = 30

$$\{y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(-2ax\mathit{\_}\mathit{Z}+2{\mathrm{e}}^{\mathit{\_}\mathit{Z}}\ln \left(x\right)+2\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2\mathit{\_}\mathit{C}\mathit{1}a+x^2)}\}$$