4.34   ODE No. 1034

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

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

Mathematica: cpu = 0.011001 (sec), leaf count = 20 $$\left\{\{y(x)\to c_2\sin \left(e^x\right)+c_1\cos \left(e^x\right)\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 15 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sin \left({\mathrm{e}}^x\right)+\mathit{\_}\mathit{C}\mathit{2}\cos \left({\mathrm{e}}^x\right)\}$$