\[ x^2 y''(x)+x^2 (-\log (x))-3 x y'(x)-5 y(x)=0 \] ✓ Mathematica : cpu = 0.0078372 (sec), leaf count = 27
DSolve[-(x^2*Log[x]) - 5*y[x] - 3*x*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_2 x^5-\frac {1}{9} x^2 \log (x)+\frac {c_1}{x}\right \}\right \}\] ✓ Maple : cpu = 0.013 (sec), leaf count = 22
dsolve(x^2*diff(diff(y(x),x),x)-3*x*diff(y(x),x)-5*y(x)-x^2*ln(x)=0,y(x))
\[y \left (x \right ) = x^{5} c_{2}+\frac {c_{1}}{x}-\frac {x^{2} \ln \left (x \right )}{9}\]