\[ -(v-1) v y(x)+x^2 y''(x)+2 x^2 y'(x)=0 \] ✓ Mathematica : cpu = 0.0237588 (sec), leaf count = 45
\[\left \{\left \{y(x)\to e^{-x} \sqrt {x} \left (c_1 J_{v-\frac {1}{2}}(-i x)+c_2 Y_{v-\frac {1}{2}}(-i x)\right )\right \}\right \}\]
✓ Maple : cpu = 0.016 (sec), leaf count = 27
\[ \left \{ y \left ( x \right ) =\sqrt {x}{{\rm e}^{-x}} \left ( {{\sl K}_{v-{\frac {1}{2}}}\left (x\right )}{\it \_C2}+{{\sl I}_{v-{\frac {1}{2}}}\left (x\right )}{\it \_C1} \right ) \right \} \]