In each of 19 through 23, solve the problem u t = k 2 u x 2 + F(x,t) for 0 < x < L,t > 0, u(0,t) = u(L,t) = 0 for t 0, and u(x, 0) = f (x) for 0 x L. Choose a value of time, and using the same set of axes, graph the twentieth partial sum of the solution together with the solution of the problem with F(x,t) removed. Repeat this for several times. This gives some sense of the influence of F(x,t) on the temperature distributionk = 4, F(x,t) = t, f (x) = x( x), L =

Monday: 16 October 2017 Summary of class: Went over obj 11 Notes: Wednesday: 18 October 2017 Summary of class: Went over obj 12 Notes: Friday: 20 October 2017 Summary of class: Went over obj 13 Notes:...