Chapter 1.8, Problem 27E

In Exercises 25-28, give a brief qualitative description of the behavior of solutions. Note that we only give partial information about the functions in the differential equation, so your description must allow for various possibilities. Be sure to deal with initial conditions of different sizes and to discuss the long-term behavior of solutions.
27. $\frac{dy}{dt}+y=b\left(t\right)$ , where $b\left(t\right)\to 3$ for all $t\to \infty$ .