2.1886   ODE No. 1886

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

$$\{ay(t)+x^{″}(t)=0,y^{″}(t)-a^{2}y(t)=0\}$$ ✓ Mathematica : cpu = 0.0219043 (sec), leaf count = 103

$$\left\{\{x(t)\to \frac{c_4(2at+e^{-at}-e^{at})}{2a^2}-\frac{c_3{e}^{-at}{(e^{at}-1)}^2}{2a}+c_{2}t+c_1,y(t)\to \frac{e^{-at}(a{c}_3(e^{2at}+1)+c_4(e^{2at}-1))}{2a}\}\right\}$$

✓ Maple : cpu = 0.065 (sec), leaf count = 49

$$\left\{\{x\left(t\right)=\frac{-\mathit{\_}\mathit{C}\mathit{4}{\mathrm{e}}^{-at}-\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{at}+a(\mathit{\_}\mathit{C}\mathit{1}t+\mathit{\_}\mathit{C}\mathit{2})}{a},y\left(t\right)=\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{at}+\mathit{\_}\mathit{C}\mathit{4}{\mathrm{e}}^{-at}\}\right\}$$