2.856   ODE No. 856

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

$$y^{\prime }(x)=-\frac{x(-\mathrm{\_}\text{F1}(y(x{)}^2-2x)-\frac{1}{x})}{\sqrt{y(x{)}^2}}$$ ✓ Mathematica : cpu = 1.07342 (sec), leaf count = 100

$$\text{Solve}[c_1={\int }_1^{y(x)}(\frac{\sqrt{K[2{]}^2}}{\mathrm{\_}\text{F1}(K[2{]}^2-2x)}-{\int }_1^x\frac{2K[2]{\mathrm{\_}\text{F1}}^{\prime }(K[2{]}^2-2K[1])}{\left(\mathrm{\_}\text{F1}(K[2{]}^2-2K[1])\right){}^2}dK[1])dK[2]+{\int }_1^x(-\frac{1}{\mathrm{\_}\text{F1}(y(x{)}^2-2K[1])}-K[1])dK[1],y(x)]$$

✓ Maple : cpu = 0.307 (sec), leaf count = 65

$$\{y\left(x\right)=\sqrt{2\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x^2-2{\int }^{\mathit{\_}\mathit{Z}}{\left(\mathit{\_}\mathit{F}\mathit{1}\left(2\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}+4\mathit{\_}\mathit{C}\mathit{1})+2x},y\left(x\right)=-\sqrt{2\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(x^2-2{\int }^{\mathit{\_}\mathit{Z}}{\left(\mathit{\_}\mathit{F}\mathit{1}\left(2\mathit{\_}\mathit{a}\right)\right)}^{-1}d\mathit{\_}\mathit{a}+4\mathit{\_}\mathit{C}\mathit{1})+2x}\}$$