\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -3\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -5\,y \left ( x \right ) -{x}^{2}\ln \left ( x \right ) =0} \]
Mathematica: cpu = 0.024003 (sec), leaf count = 27 \[ \left \{\left \{y(x)\to c_1 x^5+\frac {c_2}{x}-\frac {1}{9} x^2 \log (x)\right \}\right \} \]
Maple: cpu = 0.0 (sec), leaf count = 22 \[ \left \{ y \left ( x \right ) ={x}^{5}{\it \_C2}-{\frac {{x}^{2}\ln \left ( x \right ) }{9}}+{\frac {{\it \_C1}}{x}} \right \} \]