4.36   ODE No. 1036

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

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

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

Maple: cpu = 0.078 (sec), leaf count = 128 $$\{y\left(x\right)={\mathrm{e}}^{(-\frac{a}{2}+\frac{1}{2}\sqrt{a^2-4b})x}\mathit{\_}\mathit{C}\mathit{2}+{\mathrm{e}}^{(-\frac{a}{2}-\frac{1}{2}\sqrt{a^2-4b})x}\mathit{\_}\mathit{C}\mathit{1}+1(\int f\left(x\right){\mathrm{e}}^{-\frac{x}{2}(-a+\sqrt{a^2-4b})}\mathrm{d}x{\mathrm{e}}^{x\sqrt{a^2-4b}}-\int f\left(x\right){\mathrm{e}}^{\frac{x}{2}(a+\sqrt{a^2-4b})}\mathrm{d}x){\mathrm{e}}^{-\frac{x}{2}(a+\sqrt{a^2-4b})}\frac{1}{\sqrt{a^2-4b}}\}$$