\[ 16 x^2 y''(x)+(4 x+3) y(x)=0 \] ✓ Mathematica : cpu = 0.0251443 (sec), leaf count = 47
DSolve[(3 + 4*x)*y[x] + 16*x^2*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 e^{i \sqrt {x}} \sqrt [4]{x}+i c_2 e^{-i \sqrt {x}} \sqrt [4]{x}\right \}\right \}\] ✓ Maple : cpu = 0.022 (sec), leaf count = 21
dsolve(16*x^2*diff(diff(y(x),x),x)+(4*x+3)*y(x)=0,y(x))
\[y \left (x \right ) = x^{\frac {1}{4}} \left (\cos \left (\sqrt {x}\right ) c_{2}+\sin \left (\sqrt {x}\right ) c_{1}\right )\]