2.211   ODE No. 211

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

$$y(x)y^{\prime }(x)-x{e}^{\frac{x}{y(x)}}=0$$ ✓ Mathematica : cpu = 0.203383 (sec), leaf count = 41

$$\text{Solve}[{\int }_1^{\frac{y(x)}{x}}\frac{K[1]}{K[1{]}^2-e^{\frac{1}{K[1]}}}dK[1]=-\log (x)+c_1,y(x)]$$ ✓ Maple : cpu = 0.03 (sec), leaf count = 31

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