4.236   ODE No. 1236

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

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

Mathematica: cpu = 0.365046 (sec), leaf count = 28 $$\text{DSolve}[f(x)y(x)+(x^2-1)y^{″}(x)+x{y}^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 0.0 (sec), leaf count = 41 $$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{f\left(x\right)\mathit{\_}\mathit{Y}\left(x\right)}{x^2-1}+\frac{x\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)}{x^2-1}+\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$