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 = 0.0121514 (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 = 0.086 (sec), leaf count = 25

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