4.366   ODE No. 1366

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)=-2\frac{x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)}{x^2+1}-\frac{y\left(x\right)}{{(x^2+1)}^2}=0}}$$

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

Mathematica: cpu = 0.022503 (sec), leaf count = 31 $$\left\{\{y(x)\to \frac{c_1}{\sqrt{x^2+1}}+\frac{c_{2}x}{\sqrt{x^2+1}}\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 24 $$\{y\left(x\right)=x\mathit{\_}\mathit{C}\mathit{1}\frac{1}{\sqrt{x^2+1}}+\mathit{\_}\mathit{C}\mathit{2}\frac{1}{\sqrt{x^2+1}}\}$$