2.1217   ODE No. 1217

\[ y(x) (-a-x \tan (x))+x^2 y''(x)-\left (2 x^2 \tan (x)-x\right ) y'(x)=0 \] Mathematica : cpu = 0.106272 (sec), leaf count = 30


\[\left \{\left \{y(x)\to c_1 \sec (x) J_{\sqrt {a}}(x)+c_2 \sec (x) Y_{\sqrt {a}}(x)\right \}\right \}\] Maple : cpu = 0.045 (sec), leaf count = 24


\[y \relax (x ) = \frac {c_{2} \BesselY \left (\sqrt {a}, x\right )+c_{1} \BesselJ \left (\sqrt {a}, x\right )}{\cos \relax (x )}\]