4.217   ODE No. 1217

$$\boxed{{\displaystyle x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-(2x^2\tan \left(x\right)-x)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-(x\tan \left(x\right)+a)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.144018 (sec), leaf count = 30 $$\left\{\{y(x)\to c_1\sec (x)J_{\sqrt{a}}(x)+c_2\sec (x)Y_{\sqrt{a}}(x)\}\right\}$$

Maple: cpu = 0.031 (sec), leaf count = 27 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}}{\cos \left(x\right)}{\mathit{J}}_{\sqrt{a}}\left(x\right)+\frac{\mathit{\_}\mathit{C}\mathit{2}}{\cos \left(x\right)}{\mathit{Y}}_{\sqrt{a}}\left(x\right)\}$$