2.1466   ODE No. 1466

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

$$a^3(-y(x))+3a^2{y}^{\prime }(x)-3a{y}^{″}(x)-e^{ax}+y^{(3)}(x)=0$$ ✓ Mathematica : cpu = 0.0165729 (sec), leaf count = 46

$$\left\{\{y(x)\to c_3{x}^2{e}^{ax}+c_{2}x{e}^{ax}+c_1{e}^{ax}+\frac{1}{6}{x}^3{e}^{ax}\}\right\}$$

✓ Maple : cpu = 0.02 (sec), leaf count = 36

$$\{y\left(x\right)=\frac{x^3{\mathrm{e}}^{ax}}{6}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{ax}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{ax}x+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{ax}{x}^2\}$$