Let y(x) be a solution of the differential equation (1 + ex)y' + yex = 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)