2.1103   ODE No. 1103

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

\[ a y(x)+x y''(x)-2 y'(x)=0 \] Mathematica : cpu = 0.0225669 (sec), leaf count = 64

\[\left \{\left \{y(x)\to 6 a^{3/2} c_1 x^{3/2} J_3\left (2 \sqrt {a} \sqrt {x}\right )-2 i a^{3/2} c_2 x^{3/2} Y_3\left (2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\] Maple : cpu = 0.01 (sec), leaf count = 33

\[\left \{y \left (x \right ) = \left (c_{1} \BesselJ \left (3, 2 \sqrt {a}\, \sqrt {x}\right )+c_{2} \BesselY \left (3, 2 \sqrt {a}\, \sqrt {x}\right )\right ) x^{\frac {3}{2}}\right \}\]