4.90   ODE No. 1090

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

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

Mathematica: cpu = 0 (sec), leaf count = 0 $$\text{Hanged}$$

Maple: cpu = 0.032 (sec), leaf count = 59 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-\frac{a^{3}x+2b{\mathrm{e}}^{-ax}}{2a^2}}\sinh \left(\frac{ax}{2}\right)+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-\frac{a^{3}x+2b{\mathrm{e}}^{-ax}}{2a^2}}\cosh \left(\frac{ax}{2}\right)\}$$