\[ y(x) \left (l x^2-v^2\right )+x^2 y''(x)+x y'(x)=0 \] ✓ Mathematica : cpu = 0.0147168 (sec), leaf count = 30
DSolve[(-v^2 + l*x^2)*y[x] + x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 J_v\left (\sqrt {l} x\right )+c_2 Y_v\left (\sqrt {l} x\right )\right \}\right \}\] ✓ Maple : cpu = 0.028 (sec), leaf count = 23
dsolve(x^2*diff(diff(y(x),x),x)+x*diff(y(x),x)+(l*x^2-v^2)*y(x)=0,y(x))
\[y \left (x \right ) = c_{1} \BesselJ \left (v , \sqrt {l}\, x \right )+c_{2} \BesselY \left (v , \sqrt {l}\, x \right )\]