4.63   ODE No. 1063

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-(2{\mathrm{e}}^x+1)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+{\mathrm{e}}^{2x}y\left(x\right)-{\mathrm{e}}^{3x}=0}}$$

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

Mathematica: cpu = 0.040505 (sec), leaf count = 28 $$\left\{\{y(x)\to c_1{e}^{e^x}+c_2{e}^{x+e^x}+e^x+2\}\right\}$$

Maple: cpu = 0.125 (sec), leaf count = 66 $$\{y\left(x\right)={\mathrm{e}}^{{\mathrm{e}}^x+\frac{x}{2}}\sinh \left(\frac{x}{2}\right)\mathit{\_}\mathit{C}\mathit{2}+{\mathrm{e}}^{{\mathrm{e}}^x+\frac{x}{2}}\cosh \left(\frac{x}{2}\right)\mathit{\_}\mathit{C}\mathit{1}+{\mathrm{e}}^{\frac{x}{2}}(({\mathrm{e}}^{2x}+{\mathrm{e}}^x+1)\cosh \left(\frac{x}{2}\right)-3({\mathrm{e}}^x+1/3{\mathrm{e}}^{2x}+1)\sinh \left(x/2\right))\}$$