2.1217   ODE No. 1217

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

\[ -y(x) (a+x \tan (x))-\left (2 x^2 \tan (x)-x\right ) y'(x)+x^2 y''(x)=0 \] Mathematica : cpu = 0.100665 (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 = 0.059 (sec), leaf count = 24

\[ \left \{ y \left ( x \right ) ={\frac {1}{\cos \left ( x \right ) } \left ( {\it \_C2}\,{{\sl Y}_{\sqrt {a}}\left (x\right )}+{\it \_C1}\,{{\sl J}_{\sqrt {a}}\left (x\right )} \right ) } \right \} \]