Answer to Question #329505 in Differential Equations for mimi

Question

Consider and solve the initial value problem of a new form of life discovered on a distant

planet. Outside its habitable zone, the rate of change of population of the life form is

governed by the following data:

dy

dx + y = f(x), where f(x) = {

e

−x

, 0 ≤ x < 2

e

x

, x ≥ 2

; y(0) = 1