2.1094   ODE No. 1094

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

\[ a y(x)+x y''(x)+y'(x)=0 \] Mathematica : cpu = 0.0194233 (sec), leaf count = 41

\[\left \{\left \{y(x)\to c_1 J_0\left (2 \sqrt {a} \sqrt {x}\right )+2 c_2 Y_0\left (2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\] Maple : cpu = 0.01 (sec), leaf count = 29

\[\left \{y \left (x \right ) = c_{1} \BesselJ \left (0, 2 \sqrt {a}\, \sqrt {x}\right )+c_{2} \BesselY \left (0, 2 \sqrt {a}\, \sqrt {x}\right )\right \}\]