\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( l{x}^{2}-{v}^{2} \right ) y \left ( x \right ) =0} \]
Mathematica: cpu = 0.028004 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to c_1 J_v\left (\sqrt {l} x\right )+c_2 Y_v\left (\sqrt {l} x\right )\right \}\right \} \]
Maple: cpu = 0.031 (sec), leaf count = 23 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\sl J}_{v}\left (\sqrt {l}x \right )}+{\it \_C2}\,{{\sl Y}_{v}\left (\sqrt {l}x\right )} \right \} \]