2.1218   ODE No. 1218

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

$$y(x)(a+x\cot (x))+x^2{y}^{″}(x)+(2x^2\cot (x)+x)y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.143224 (sec), leaf count = 38

$$\left\{\{y(x)\to c_1\csc (x)J_{i\sqrt{a}}(x)+c_2\csc (x)Y_{i\sqrt{a}}(x)\}\right\}$$

✓ Maple : cpu = 0.04 (sec), leaf count = 33

$$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{\sin \left(x\right)}{\mathit{J}}_{i\sqrt{a}}\left(x\right)+\frac{\mathit{\_}\mathit{C}\mathit{2}}{\sin \left(x\right)}{\mathit{Y}}_{i\sqrt{a}}\left(x\right)\}$$