\[ \left (x^2-v^2\right ) y(x)+x^2 y''(x)+x y'(x)=0 \] ✓ Mathematica : cpu = 0.042314 (sec), leaf count = 18
\[\{\{y(x)\to c_1 J_v(x)+c_2 Y_v(x)\}\}\] ✓ Maple : cpu = 0.01 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl J}_{v}\left (x\right )}+{\it \_C2}\,{{\sl Y}_{v}\left (x\right )} \right \} \]