\[ y''(x)=-\frac {y(x)}{x^4}-\frac {y'(x)}{x} \] ✓ Mathematica : cpu = 0.0557146 (sec), leaf count = 31
DSolve[Derivative[2][y][x] == -(y[x]/x^4) - Derivative[1][y][x]/x,y[x],x]
\[\left \{\left \{y(x)\to c_2 \operatorname {BesselJ}\left (0,\frac {1}{x}\right )+\frac {c_1 K_0\left (\frac {i}{x}\right )}{\sqrt {\pi }}\right \}\right \}\] ✓ Maple : cpu = 0.024 (sec), leaf count = 19
dsolve(diff(diff(y(x),x),x) = -1/x*diff(y(x),x)-1/x^4*y(x),y(x))
\[y \left (x \right ) = c_{1} \operatorname {BesselJ}\left (0, \frac {1}{x}\right )+c_{2} \operatorname {BesselY}\left (0, \frac {1}{x}\right )\]