Problem 1: Fourier Series:
Problem 1: Fourier Series: (cont)
Problem 1: Fourier Series (cont)
Problem 2: Steady Solutions
Problem 3: Heat conduction with inhomogeneous boundary conditions
Math 257/316 Assignment 5
Due Monday October 26th in class
Problem 1: Sketch the odd, even, and full periodic extensions on [3L; 3L] of
(a) ex , with L = 1
(b) 4 x2 , with L = 2
(c) g(x) =
1 + x, x < 0
, with L = 1.
Figure 1: P
Math 257/316 PDE
[Separation of variables]
1. Determine whether the method of separation of variables can be used to replace the
following PDEs by a pair of ODEs. If so, nd the equations.
(a) xuxx + tut = 0.
(b) uxx + uyy = x.
(c) ux + uxt +