2.1272   ODE No. 1272

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

\[ \left (4 a^2 x^2+1\right ) y(x)+4 x^2 y''(x)=0 \] Mathematica : cpu = 0.0099754 (sec), leaf count = 32

\[\left \{\left \{y(x)\to c_1 \sqrt {x} J_0(a x)+c_2 \sqrt {x} Y_0(a x)\right \}\right \}\] Maple : cpu = 0.042 (sec), leaf count = 23

\[ \left \{ y \left ( x \right ) =\sqrt {x} \left ( {{\sl Y}_{0}\left (ax\right )}{\it \_C2}+{{\sl J}_{0}\left (ax\right )}{\it \_C1} \right ) \right \} \]