4.429   ODE No. 1429

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

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

Mathematica: cpu = 0.056507 (sec), leaf count = 51 $$\left\{\{y(x)\to c_1\cosh (\log (\cos \left(\frac{x}{2}\right))-\log (\sin \left(\frac{x}{2}\right)))-i{c}_2\sinh (\log (\cos \left(\frac{x}{2}\right))-\log (\sin \left(\frac{x}{2}\right)))\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 25 $$\{y\left(x\right)=\frac{\sin \left(x\right)\mathit{\_}\mathit{C}\mathit{1}}{-1+\cos \left(x\right)}+\frac{(-1+\cos \left(x\right))\mathit{\_}\mathit{C}\mathit{2}}{\sin \left(x\right)}\}$$