2.1217   ODE No. 1217

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

\[ -y(x) (a+x \tan (x))+x^2 y''(x)-\left (2 x^2 \tan (x)-x\right ) y'(x)=0 \] Mathematica : cpu = 0.145914 (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 = 0.037 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{\cos \left ( x \right ) }{{\sl J}_{\sqrt {a}}\left (x\right )}}+{\frac {{\it \_C2}}{\cos \left ( x \right ) }{{\sl Y}_{\sqrt {a}}\left (x\right )}} \right \} \]