\[ y(x) \left (x^2 \left (-f'(x)+f(x)^2+1\right )-x f(x)-v^2\right )+\left (x-2 x^2 f(x)\right ) y'(x)+x^2 y''(x)=0 \] ✓ Mathematica : cpu = 0.0234528 (sec), leaf count = 42
\[\left \{\left \{y(x)\to c_1 J_v(x) \exp \left (\int _1^xf(K[1])dK[1]\right )+c_2 Y_v(x) \exp \left (\int _1^xf(K[1])dK[1]\right )\right \}\right \}\] ✓ Maple : cpu = 0.027 (sec), leaf count = 35
\[y \relax (x ) = {\mathrm e}^{-\frac {\left (\int \frac {-2 x f \relax (x )+1}{x}d x \right )}{2}} \sqrt {x}\, \left (c_{1} \BesselJ \left (v , x\right )+c_{2} \BesselY \left (v , x\right )\right )\]