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

If y(x) is the solution of the differential equation `( dy )/( dx) +((2x+1)/(x))y=e^(-2x), x gt 0` , where `y(1) = (1)/(2) e^(-2)`, then

A

`y(log_e2)=log_e4`

B

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

C

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

D

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

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The correct Answer is:

C

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