Chapter 9.1, Problem 48E

(A)

To determine

To find: The particular solution of the differential equation $y^{\prime }=4-y$ that satisfies the initial condition $y\left(0\right)=2$.

(B)

To determine

The particular solution of the differential equation $y^{\prime }=4-y$ that satisfies the initial condition $y\left(0\right)=4$.

(C)

To determine

The particular solution of the differential equation $y^{\prime }=4-y$ that satisfies the initial condition $y\left(0\right)=5$ and then graph all the particular solutions from part (A), (B), and (C) for $x\ge 0$.