If y(x) is the the solution of the diffe...

If y(x) is the the solution of the differntial equation `dy/dx+((2x+1)/x)y=e^(-2x),xgt0," where "y(1)=1/2e^(-2)`, then

A

y(x) is decreasing in (0,1)

B

y(x) is decreasing in `(1/2,1)`

C

`y(log_e2)=(log_e2)/4`

D

`y(log_e2)=log_2 4`

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The correct Answer is:

B

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