2.1097   ODE No. 1097

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

\[ a y(x)+x y''(x)-y'(x)=0 \] Mathematica : cpu = 0.0212636 (sec), leaf count = 46

\[\left \{\left \{y(x)\to 2 a c_1 x J_2\left (2 \sqrt {a} \sqrt {x}\right )-2 a c_2 x Y_2\left (2 \sqrt {a} \sqrt {x}\right )\right \}\right \}\] Maple : cpu = 0.01 (sec), leaf count = 31

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