MATH 212: INTRODUCTORY PARTIAL DIFFERENTIAL EQUATIONS
SOPHIE MOUFAWAD
Example 2.4.19a) Solve the IVP
$
utt 2utx 3uxx 0,
&
up0, xq x2
%u p0, xq ex ,
t
t 0 p2.1q
Let
Lrus utt 2utx 3uxx
B
B
B
B
p 3 qp ` 1 qrus L1 rL2 russ
Bt
Bx Bt
Bx
B
B
B
B
p ` 1 qp 3 qru
MCHE 513: Intermediate Dynamics
Fall 2015 Homework 4
Assigned:
Due:
Monday, October 12th
Monday, October 19th, 5pm
Assignment: From Advanced Engineering Dynamics by Jerry Ginsberg, problems:
4.5, 4.7, 4.17, 4.21, 4.25
Submission: Emailed single pdf docume
sLGS 1020: PUBLIC LAW
Assignment
There are 2 parts to this assignment:
Part A Project Choose 2 of 4 options
Part B Reflection and Evaluation
* Parts A (Project) may need to be saved and submitted as a separate
document in the Assignment dropbox. However,
gmeracanllnijgsitg ofirut
Midterm Exam: MATH 212
Professor: Mohammad El Smelly
Beirut, November 1, 2014
Duration: 60 minutes
Last Name: B13.
First Name: W\:Q_m
Student number:
Lecture time (circle one of the following 3): 11:00 to 12:00 12:00 to 1:00
Amein University of Beirut
L . j ' f: f' 2/
Midterm Exam: MATH 212
Instructor: Mohammad El Smaily
Beirut, October 3, 2014
Duration: 60 minutes
Last Name: JMO/
First Name: K 7 _ _ _ _
Studeut number: awr;
No Calculators or other aids are allowed
(cell phon
Selected Solutions Manual
for
Introduction to Partial
Differential Equations
by
Peter J. Olver
Undergraduate Texts in Mathematics
Springer, 2014
ISBN 9783319020983
c 2014
Peter J. Olver
Table of Contents
Chapter 1. What Are Partial Differential Equations?
MATH 212: INTRODUCTORY PARTIAL DIFFERENTIAL EQUATIONS
ASSIGNMENT 7
SOPHIE MOUFAWAD
Exercise 1: The goal of this exercise is to solve the following heat equation with homogeneous boundary conditions and constant initial condition:
$
2
ut uxx ` 4 u b, t 0,
MATH 212: INTRODUCTORY PARTIAL DIFFERENTIAL EQUATIONS
SOPHIE MOUFAWAD
Exercise 3.4.8 a) Similarly to the case where f pxq is defined over r, s, in case f pxq is
defined over r0, 2s, we have that:
2
sinplxqcospkxqdx 0
$
2
&0
sinplxqsinpkxqdx
0
%
$
2
&0
MATH 212: INTRODUCTORY PARTIAL DIFFERENTIAL EQUATIONS
ASSIGNMENT 7
SOPHIE MOUFAWAD
Exercise 1: The goal of this exercise is to solve the following heat equation with homogeneous boundary conditions and constant initial condition:
$
2
ut uxx ` 4 u b, t 0,
Math 212 , Fall 2007 Instructor : Friedemann Brock Homework assignment, 26 October2 November 2007 1. Consider the inhomogeneous heat problem () ut = kuxx + F (x), u(x, 0) = 0, (0 < x < l, t > 0),
(0 < x < l), (t > 0),
u(0, t) = u(l, t) = 0,
where l > 0, k
Math 212 , Fall 2007 Instructor : Friedemann Brock Homework assignment, 1724 October 2007 1. (a) Let f : IR C be 2L-periodic, (L > 0), and Riemann integrable. The I corresponding Fourier series are
+ 1 a0 + (an cos(nx/L) + bn sin(nx/L) , 2 n=1
cn einx/L ,