JEE Math Practice Question

If y(x) is the solution of the differential equation $${{dy} \over {dx}} + \left( {{{2x + 1} \over x}} \right)y = {e^{ - 2x}},\,\,x > 0,\,$$ where $$y\left( 1 \right) = {1 \over 2}{e^{ - 2}},$$ then

1. A.y(loge2) = loge4
2. B.y(x) is decreasing in (0, 1)
3. C.y(loge2) = $${{{{\log }_e}2} \over 4}$$
4. D.y(x) is decreasing in $$\left( {{1 \over 2},1} \right)$$