2.802   ODE No. 802

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

$$y^{\prime }(x)=\frac{\mathrm{\_}\text{F1}(y(x)+\frac{1}{x})+\frac{1}{x}}{x}$$ ✓ Mathematica : cpu = 0.121438 (sec), leaf count = 101

$$\text{Solve}[{\int }_1^{y(x)}-\frac{\mathrm{\_}\text{F1}(K[2]+\frac{1}{x}){\int }_1^x-\frac{{\mathrm{\_}\text{F1}}^{\prime }(K[2]+\frac{1}{K[1]})}{K[1{]}^2\left(\mathrm{\_}\text{F1}(K[2]+\frac{1}{K[1]})\right){}^2}dK[1]+1}{\mathrm{\_}\text{F1}(K[2]+\frac{1}{x})}dK[2]+{\int }_1^x(\frac{1}{K[1]}+\frac{1}{\mathrm{\_}\text{F1}(y(x)+\frac{1}{K[1]})K[1{]}^2})dK[1]=c_1,y(x)]$$ ✓ Maple : cpu = 0.249 (sec), leaf count = 27

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