2.1097   ODE No. 1097

\[ a y(x)+x y''(x)-y'(x)=0 \] Mathematica : cpu = 0.0197088 (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


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