\[ x^2 y''(x)+x^2 (-\log (x))-3 x y'(x)-5 y(x)=0 \] ✓ Mathematica : cpu = 0.0088783 (sec), leaf count = 27
\[\left \{\left \{y(x)\to -\frac {1}{9} x^2 \log (x)+c_2 x^5+\frac {c_1}{x}\right \}\right \}\] ✓ Maple : cpu = 0.09 (sec), leaf count = 22
\[ \left \{ y \left ( x \right ) ={x}^{5}{\it \_C2}+{\frac {{\it \_C1}}{x}}-{\frac {{x}^{2}\ln \left ( x \right ) }{9}} \right \} \]