\[ (1-v) v y(x)+x^2 y''(x)+2 x^2 y'(x)=0 \] ✓ Mathematica : cpu = 0.0164944 (sec), leaf count = 62
\[\left \{\left \{y(x)\to c_1 e^{-x} \sqrt {x} J_{\frac {1}{2} (2 v-1)}(-i x)+c_2 e^{-x} \sqrt {x} Y_{\frac {1}{2} (2 v-1)}(-i x)\right \}\right \}\] ✓ Maple : cpu = 0.017 (sec), leaf count = 27
\[\left \{y \left (x \right ) = \left (c_{1} \BesselI \left (v -\frac {1}{2}, x\right )+c_{2} \BesselK \left (v -\frac {1}{2}, x\right )\right ) \sqrt {x}\, {\mathrm e}^{-x}\right \}\]