The differential equation y′ = .5(1 - y)(4 - y) has five types of solutions labeled A–E. For each of the following initial values, graph the solution of the differential equation and identify the type of solution. Use a small value of h, let t range from 0 to 4, and let y range from -1 to 5. 

(a) y(0) = -1 

(b) y(0) = 1 

(c) y(0) = 2

(d) y(0) = 3.9 

(e) y(0) = 4.1

A. Constant solution.

B. Decreasing, has an inflection point, and asymptotic to the line y = 1.

C. Increasing, concave down, and asymptotic to the line y = 1.

D. Concave up and increasing indefinitely.

E. Decreasing, concave up, and asymptotic to the line y = 1.