\[ \left (x-v^2\right ) y(x)+4 x^2 y''(x)+4 x y'(x)=0 \] ✓ Mathematica : cpu = 0.0343216 (sec), leaf count = 38
\[\left \{\left \{y(x)\to c_1 \Gamma (1-v) J_{-v}\left (\sqrt {x}\right )+c_2 \Gamma (v+1) J_v\left (\sqrt {x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.009 (sec), leaf count = 19
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl J}_{v}\left (\sqrt {x}\right )}+{\it \_C2}\,{{\sl Y}_{v}\left (\sqrt {x}\right )} \right \} \]