4.238   ODE No. 1238

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

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

Mathematica: cpu = 0.017502 (sec), leaf count = 36 $$\left\{\{y(x)\to \frac{1}{2}(a+c_1)\log (1-x)+\frac{1}{2}(a-c_1)\log (x+1)+c_2\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 34 $$\{y\left(x\right)=\frac{\ln (x-1)\mathit{\_}\mathit{C}\mathit{1}}{2}+\frac{\ln (x-1)a}{2}-\frac{\ln (1+x)\mathit{\_}\mathit{C}\mathit{1}}{2}+\frac{\ln (1+x)a}{2}+\mathit{\_}\mathit{C}\mathit{2}\}$$