ODE No. 1350

\[ y''(x)=-\frac {a^2 y(x)}{x^4}-\frac {2 y'(x)}{x} \] Mathematica : cpu = 0.0072914 (sec), leaf count = 25

DSolve[Derivative[2][y][x] == -((a^2*y[x])/x^4) - (2*Derivative[1][y][x])/x,y[x],x]
 

\[\left \{\left \{y(x)\to c_1 \cos \left (\frac {a}{x}\right )-c_2 \sin \left (\frac {a}{x}\right )\right \}\right \}\] Maple : cpu = 0.011 (sec), leaf count = 21

dsolve(diff(diff(y(x),x),x) = -2/x*diff(y(x),x)-a^2/x^4*y(x),y(x))
 

\[y \left (x \right ) = c_{1} \sin \left (\frac {a}{x}\right )+c_{2} \cos \left (\frac {a}{x}\right )\]