2.1008   ODE No. 1008

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

$$a^{2}y(x)-\cot (ax)+y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.0411163 (sec), leaf count = 48

$$\left\{\{y(x)\to -\frac{\sin (ax)(\log (\cos \left(\frac{ax}{2}\right))-\log (\sin \left(\frac{ax}{2}\right)))}{a^2}+c_2\sin (ax)+c_1\cos (ax)\}\right\}$$

✓ Maple : cpu = 0.043 (sec), leaf count = 43

$$\{y\left(x\right)=\sin \left(ax\right)\mathit{\_}\mathit{C}\mathit{2}+\cos \left(ax\right)\mathit{\_}\mathit{C}\mathit{1}+\frac{\sin \left(ax\right)(\ln (\cos \left(ax\right)-1)-\ln (\cos \left(ax\right)+1))}{2a^2}\}$$