Chapter 1.8, Problem 18E

(a)

To determine

To calculate:To determine the equilibrium solution for the equation $\frac{dy}{dt}=-y+2$ .

(b)

To determine

To calculate:To prove that y(t)= $2-e^{-t}$ is the solution for the equation $\frac{dy}{dt}=-y+2$ .

(c)

To determine

To calculate:To prove that the linearity principle does not hold for the equation $\frac{dy}{dt}=-y+2$ .