2.1437   ODE No. 1437

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

$$y^{″}(x)=(3{\sin }^2(x)+1)\csc (x)\sec (x)y^{\prime }(x)+y(x){\tan }^2(x)$$ ✓ Mathematica : cpu = 0.282034 (sec), leaf count = 44

$$\left\{\{y(x)\to c_1{\cos }^{\frac{\sqrt{13}}{2}-\frac{3}{2}}(x)+c_2{\cos }^{-\frac{3}{2}-\frac{\sqrt{13}}{2}}(x)\}\right\}$$

✓ Maple : cpu = 0.172 (sec), leaf count = 29

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{(\cos \left(x\right))}^{-\frac{3}{2}+\frac{\sqrt{13}}{2}}+\mathit{\_}\mathit{C}\mathit{2}{(\cos \left(x\right))}^{-\frac{3}{2}-\frac{\sqrt{13}}{2}}\}$$