Partial Differential Equation Problem

1) Problem 1 in Section 4.4 of APDE [15pts, look at example 8.12 in EPDE].
2) Problem 3 in Section 4.7 of APDE [20pts = 10pts for each half (find the formula and then show it is...)].
3) Problem 5 in Section 4.7 of APDE [15pts]. Here Q and u_0 are constants.
4) Problem 8.13 in EPDE