\[ 4 x y''(x)+2 y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0072951 (sec), leaf count = 27
DSolve[-y[x] + 2*Derivative[1][y][x] + 4*x*Derivative[2][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 \cosh \left (\sqrt {x}\right )+i c_2 \sinh \left (\sqrt {x}\right )\right \}\right \}\] ✓ Maple : cpu = 0.011 (sec), leaf count = 17
dsolve(4*x*diff(diff(y(x),x),x)+2*diff(y(x),x)-y(x)=0,y(x))
\[y \left (x \right ) = c_{1} \sinh \left (\sqrt {x}\right )+c_{2} \cosh \left (\sqrt {x}\right )\]