AMATH 353- Winter Quarter 2008
SOLUTIONS - HOMEWORK 2
E. Kirkinis
University of Washington, Department of Applied Mathematics
# 4 is the important problem. At the end of the course you will remember these three cases
by heart.
1. Solve the PDEs uxy = 5 an
AMATH 353- Winter Quarter 2008
SOLUTIONS - HOMEWORK 6
E. Kirkinis
University of Washington, Department of Applied Mathematics
Solving interesting PDEs with Fourier Transforms. The last three problems are related
to wave propagation. Problem 7 is not trivi
AMATH 353- Winter Quarter 2008
SOLUTIONS - HOMEWORK 5
E. Kirkinis
University of Washington, Department of Applied Mathematics
1. Boas p. 653
Find the Fourier transform of the following function
x, x (1, 1)
f (x) =
0, otherwise
(1)
Then find an integral re
AMATH 353- Winter Quarter 2008
SOLUTIONS - HOMEWORK 8
E. Kirkinis
University of Washington, Department of Applied Mathematics
Rarefaction and Shock waves; Laplaces equation in plane polar coordinates
1. (Hab 12.6.7) Consider the conservation law
x<0
4,
2
AMATH 353- Autumn Quarter 2007
SOLUTIONS - HOMEWORK 1
E. Kirkinis
University of Washington, Department of Applied Mathematics
1. Determine the order of the following 4 differential equations and decide whether they
are linear or non-linear.
2. (5 points)
AMATH 353- Winter Quarter 2008
SOLUTIONS - HOMEWORK 8
E. Kirkinis
University of Washington, Department of Applied Mathematics
Laplace and Poisson equation (1,2), linear conservation laws(3), non-linear conservation laws
(4,5). 3,4,5 are 5 problems to be s
AMATH 353- Winter Quarter 2008
SOLUTIONS - HOMEWORK 4
E. Kirkinis
University of Washington, Department of Applied Mathematics
1. Given
f (x) =
0, 0 < x < 1
1, 1 < x < 2
(1)
Sketch the even function fc of period 4, the odd function fs of period 4 and the f
AMATH 353- Winter Quarter 2008
SOLUTIONS - HOMEWORK 7
E. Kirkinis
University of Washington, Department of Applied Mathematics
Wave equation Lessons 16-20. Solutions to Farlow problems appear at the back of the book.
1. Lesson 16: 2,3,4 (easy)
2. Lesson 17
AMATH 353- Autumn Quarter 2007
SOLUTIONS - HOMEWORK 3
E. Kirkinis
University of Washington, Department of Applied Mathematics
Hints: For #1,2 look into lesson 8. You must assume a solution of the form u(x, y, z) =
w(x, y, z)eax+by+cz in the #1 and determi