Chapter 16.5, Problem 49E

(a)

To determine

To express: The differential equation to express the relationship between weight and calories assuming C is a constant.

(b)

To determine

To find: The unit of proportionality constant k.

(c)

To determine

To rewrite: The differential equation in part (a) using the factthat 3,500 calories is equivalent to 1lb.

(d)

To determine

To solve: The differential equation $\frac{dw}{dt}=\frac{1}{3,500}\left(C-17.5w\right)$.

(e)

To determine

To express: The coefficient of $e^{-0.005t}$ in terms of $w_0$ and C by assuming $w_0$ is the initial weight.