2.1417   ODE No. 1417

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

$$y^{″}(x)=-\csc (x)y^{\prime }(x)({\sin }^2(x)-\cos (x))-y(x){\sin }^2(x)$$ ✓ Mathematica : cpu = 0.155358 (sec), leaf count = 45

$$\left\{\{y(x)\to e^{\frac{\cos (x)}{2}}(c_1\cos (\frac{1}{2}\sqrt{3}\cos (x))+c_2\sin (\frac{1}{2}\sqrt{3}\cos (x)))\}\right\}$$

✓ Maple : cpu = 0.292 (sec), leaf count = 31

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