Chapter 10.6, Problem 22P

a.

To determine

The steady state part of the solution $v\left(x\right)$ when ${\alpha }^2=1\text{ and }s\left(x\right)=\frac{kx}{L}$, where k is a constant.

b.

To determine

The temperature distribution $w\left(x,t\right)$ when $T_1=0,T_2=0,L=20,k=\frac{1}{5}\text{ and }f\left(x\right)=0\text{ for 0}<x<L$.

c.

To determine

To plot: The temperature distribution u versus x for several values of t on the same axes.

d.

To determine

To plot: The steady state part of the solution $v\left(x\right)$.