8.17   ODE No. 1607

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

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

Mathematica: cpu = 0.108014 (sec), leaf count = 79 $$\{\{y(x)\to -2\text{am}\left(\frac{1}{2}\sqrt{(2a+c_1)(x+c_2){}^2}|\frac{4a}{2a+c_1}\right)\},\{y(x)\to 2\text{am}\left(\frac{1}{2}\sqrt{(2a+c_1)(x+c_2){}^2}|\frac{4a}{2a+c_1}\right)\}\}$$

Maple: cpu = 0.078 (sec), leaf count = 49 $$\{{\int }^{y\left(x\right)}\frac{1}{\sqrt{2a\cos \left(\mathit{\_}\mathit{a}\right)+\mathit{\_}\mathit{C}\mathit{1}}}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0,{\int }^{y\left(x\right)}-\frac{1}{\sqrt{2a\cos \left(\mathit{\_}\mathit{a}\right)+\mathit{\_}\mathit{C}\mathit{1}}}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0\}$$