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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?
y(-4) = 0
y(-2) = 0
y(x) has a critical point in the interval (-1, 0)
y(x) has no critical point in the interval (-1, 0)
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