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 = 0.143896 (sec), leaf count = 29

\[\left \{\left \{y(x)\to \sec (x) \left (c_1 J_{\sqrt {a}}(x)+c_2 Y_{\sqrt {a}}(x)\right )\right \}\right \}\]

Maple : cpu = 0.037 (sec), leaf count = 24

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