3.807   ODE No. 807

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=-{(-x-\mathit{\_}\mathit{F}\mathit{1}(y\left(x\right)-\ln \left(x\right))y\left(x\right){\mathrm{e}}^{y\left(x\right)})}^{-1}=0}}$$

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

Mathematica: cpu = 1.852735 (sec), leaf count = 34 $$\text{DSolve}[y^{\prime }(x)=-\frac{1}{-e^{y(x)}y(x)\mathrm{\_}\text{F1}(y(x)-\log (x))-x},y(x),x]$$

Maple: cpu = 0.468 (sec), leaf count = 43 $$\{\frac{{(\ln \left(x\right))}^2}{2}-y\left(x\right)\ln \left(x\right)-{\int }^{y\left(x\right)-\ln \left(x\right)}\frac{\mathit{\_}\mathit{F}\mathit{1}\left(\mathit{\_}\mathit{a}\right)\mathit{\_}\mathit{a}+{\mathrm{e}}^{-\mathit{\_}\mathit{a}}}{\mathit{\_}\mathit{F}\mathit{1}\left(\mathit{\_}\mathit{a}\right)}d\mathit{\_}\mathit{a}+\mathit{\_}\mathit{C}\mathit{1}=0\}$$