Let y(x) be a solution of the differenti...

Let y(x) be a solution of the differential equation `(1+e^(x))y'+ye^(x)=1`. If `y(0)=2`, then which of the following statements is (are) true?

A

`y(-4)=0`

B

`y(-2)=0`

C

y(x) has a critical point in the interval `(-1,0)`

D

y(x) has no cirtical point in the interval `(-1,0)`

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