Chapter 5.3, Problem 84E

(A)

To determine

To explain: The meaning of the boundary value problem $\frac{dN}{dt}=k\left(L-N\right)$ with $N\left(0\right)=0\text{ and }N\left(10\right)=0.1L$.

(B)

To determine

To solve: The differential equation $\frac{dN}{dt}=k\left(L-N\right)$ with boundary condition $N\left(0\right)=0\text{ and }N\left(10\right)=0.1L$.

(C)

To determine

To find: The number of days whenever the percentage of L is 50%.

(D)

To determine

To draw: The graph of the limited growth solution curve $N=L\left(1-e^{-0.011t}\right)$ with time interval $0\le t\le 300$.