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 critical point in the interval (-1, 0)