The differential equation y′ = .5(y - 1)(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) = .9 

(b) y(0) = 1.1 

(c) y(0) = 3

(d) y(0) = 4 

(e) y(0) = 5

A. Constant solution.

B. Decreasing, concave up, and asymptotic to the line y = 4.

C. Increasing, has an inflection point, and asymptotic to the line y = 4.

D. Increasing, concave down, and asymptotic to the line y = 4.

E. Concave down and decreasing indefinitely.