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

B

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

C

` y( bg _(e) 2) =( log _(e) 2) /(4)`

D

` y ( bg _(e) 2)) = log _(e) 4`

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The correct Answer is:
A
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