\[ 4 x^2 y''(x)+5 x y'(x)-y(x)-\log (x)=0 \] ✓ Mathematica : cpu = 0.116402 (sec), leaf count = 74
\[\left \{\left \{y(x)\to c_2 x^{\frac {1}{2} \left (\frac {\sqrt {17}}{4}-\frac {1}{4}\right )}+c_1 x^{\frac {1}{2} \left (-\frac {1}{4}-\frac {\sqrt {17}}{4}\right )}-\frac {256 (\log (x)+1)}{\left (\sqrt {17}-1\right )^2 \left (1+\sqrt {17}\right )^2}\right \}\right \}\] ✓ Maple : cpu = 0.169 (sec), leaf count = 32
\[\left \{y \left (x \right ) = c_{1} x^{-\frac {1}{8}-\frac {\sqrt {17}}{8}}+c_{2} x^{-\frac {1}{8}+\frac {\sqrt {17}}{8}}-\ln \left (x \right )-1\right \}\]