\[ -(-2 v+x-1) y'(x)-(2 v+x) y''(x)+x y^{(3)}(x)+(x-1) y(x)=0 \] ✓ Mathematica : cpu = 0.172909 (sec), leaf count = 93
\[\left \{\left \{y(x)\to \frac {c_3 e^x x^{2 v+2} \Gamma \left (v+\frac {3}{2}\right ) \, _1\tilde {F}_1\left (v+\frac {3}{2};2 v+3;-2 x\right )}{\Gamma \left (\frac {1}{2}-v\right )}+c_2 2^{-2 v-2} e^x G_{2,3}^{2,1}\left (2 x\left |\begin {array}{c} 1,v+\frac {3}{2} \\ 1,2 (v+1),0 \\\end {array}\right .\right )+c_1 e^x\right \}\right \}\] ✓ Maple : cpu = 0.227 (sec), leaf count = 35
\[ \left \{ y \left ( x \right ) ={{\rm e}^{x}}{\it \_C1}+{\it \_C2}\,{x}^{v+1}{{\sl I}_{-v-1}\left (x\right )}+{\it \_C3}\,{x}^{v+1}{{\sl K}_{v+1}\left (x\right )} \right \} \]