Chapter 9.1, Problem 49E

(A)

To determine

To find: The particular solution of the differential equation $y^{\prime }=y-2$ that satisfies the initial condition $y\left(0\right)=1$.

(B)

To determine

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

(C)

To determine

The particular solution of the differential equation $y^{\prime }=y-2$ that satisfies the initial condition $y\left(0\right)=3$ and then graph all the particular solutions from part (A), (B), and (C) for $x\ge 0$.