5.64   ODE No. 1512

$$\boxed{{\displaystyle x^3\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+3x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(-a^2+1)x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.038005 (sec), leaf count = 29 $$\left\{\{y(x)\to -\frac{c_1{x}^{-a}}{a}+\frac{c_2{x}^a}{a}+c_3\}\right\}$$

Maple: cpu = 0.016 (sec), leaf count = 18 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}{x}^{-a}+\mathit{\_}\mathit{C}\mathit{3}{x}^a\}$$