\[ 4 x^2 y''(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0086119 (sec), leaf count = 27
DSolve[y[x] + 4*x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 \sqrt {x}+\frac {1}{2} c_2 \sqrt {x} \log (x)\right \}\right \}\] ✓ Maple : cpu = 0.006 (sec), leaf count = 14
dsolve(4*x^2*diff(diff(y(x),x),x)+y(x)=0,y(x))
\[y \left (x \right ) = \sqrt {x}\, \left (c_{2} \ln \left (x \right )+c_{1}\right )\]