- #1

karush

Gold Member

MHB

- 3,269

- 5

Consider the differential equation

$\displaystyle \dfrac{dy}{dt}=ay-b$

Find the equilibrium solution $y_e$ rewrite as

$y'=ay-b=0$

then

$ay-b=0\implies y_e=\dfrac{b}{a}$

(b) Let $Y(t)=y-y_e$;

thus $Y(t)$ is the deviation from the equilibrium solution.

the differential equation satisfied by $Y(t)$.

so far but ?here is the book answer