3.113   ODE No. 113

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

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

Mathematica: cpu = 0.022503 (sec), leaf count = 16 $$\left\{\{y(x)\to x\sinh (c_1-a\log (x))\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 33 $$\{\frac{x^a}{x}\sqrt{{\left(y\left(x\right)\right)}^2+x^2}+\frac{x^{a}y\left(x\right)}{x}-\mathit{\_}\mathit{C}\mathit{1}=0\}$$