4.87   ODE No. 1087

$$\boxed{{\displaystyle 4\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-(x^2+a)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.008001 (sec), leaf count = 36 $$\left\{\{y(x)\to c_1{D}_{\frac{1}{4}(-a-2)}(x)+c_2{D}_{\frac{a-2}{4}}(ix)\}\right\}$$

Maple: cpu = 0.062 (sec), leaf count = 35 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathit{M}}_{-\frac{a}{8},\frac{1}{4}}\left(\frac{x^2}{2}\right)\frac{1}{\sqrt{x}}+\mathit{\_}\mathit{C}\mathit{2}{\mathit{W}}_{-\frac{a}{8},\frac{1}{4}}\left(\frac{x^2}{2}\right)\frac{1}{\sqrt{x}}\}$$