2.1432   ODE No. 1432

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

$$y^{″}(x)=-\cot (x)y^{\prime }(x)-\frac{1}{4}y(x)(-17{\sin }^2(x)-1){\csc }^2(x)$$ ✓ Mathematica : cpu = 0.0890356 (sec), leaf count = 37

$$\left\{\{y(x)\to \frac{c_1{e}^{-2x}}{\sqrt{\sin (x)}}+\frac{c_2{e}^{2x}}{4\sqrt{\sin (x)}}\}\right\}$$

✓ Maple : cpu = 0.044 (sec), leaf count = 25

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sinh \left(2x\right)\frac{1}{\sqrt{\sin \left(x\right)}}+\mathit{\_}\mathit{C}\mathit{2}\cosh \left(2x\right)\frac{1}{\sqrt{\sin \left(x\right)}}\}$$