4.342   ODE No. 1342

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

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

Mathematica: cpu = 0.041505 (sec), leaf count = 51 $$\left\{\{y(x)\to c_{1}x{e}^{\frac{\sqrt{-a}}{x}}+\frac{c_{2}x{e}^{-\frac{\sqrt{-a}}{x}}}{2\sqrt{-a}}\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 31 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}x\sinh \left(\frac{1}{x}\sqrt{-a}\right)+\mathit{\_}\mathit{C}\mathit{2}x\cosh \left(\frac{1}{x}\sqrt{-a}\right)\}$$