3.154   ODE No. 154

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

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

Mathematica: cpu = 0.013002 (sec), leaf count = 26 $$\left\{\{y(x)\to \frac{c_1}{x^2-1}+\frac{\sin (x)}{x^2-1}\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 16 $$\{y\left(x\right)=\frac{\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}}{x^2-1}\}$$