3.153   ODE No. 153

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

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

Mathematica: cpu = 0.016502 (sec), leaf count = 21 $$\left\{\{y(x)\to ax+c_1\sqrt{x^2-1}\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 20 $$\{y\left(x\right)=\sqrt{1+x}\sqrt{x-1}\mathit{\_}\mathit{C}\mathit{1}+ax\}$$