Math 331 Assignment 3 solution
Problem 1.5c. Formulate the initial/boundary value problem for a given model (PDE,
BCs, ICs). Do not solve. Do not provide much detail. Provide an illustration.
1. Describe small oscillations of a horizontal elastic string o

Math 331 Assignment 2 Solutions/Answers
Please work independently!
Problem 1.4a: Consider the homogeneous heat equation . in the domain 0 x ,
0 t.
Show that for any integer n, the separated solutions
2 n2 t
un (x, t) = ea
sin(nx),
2 n2 t
vn (x, t) = ea

Math 331 Assignment 1 Solutions/Answers
Regular problems [Notes]:
Problem 1.1b [2 pts]
Answer: There are many examples; any two is OK with sufficient detail (context,
variables, equation).
Problem 1.1d [2 pts]
Solution: y 00 = 0 has the general solution