American University of Sharjah
Department of Math and Stat
MTHZOS - Differential Equations Quiz #5
Spring 2010
Name: 3 ID#:
Q1. Solve 4y "' 4y' " 3y = Sin 23: by undetermined coefcients.
5% get, szqir w: fee
{ex J: x WY 5% 3 E 33 Wk We
Y}: a: 155%.;
American University of Sharjah
Department of Math and Stat
MTH205 - Differential Equations - Quiz #5
Fall 2007
Name: 63 Me; , ID#:
Q1. Set up the form of a particular solution for
y"-2y'+ y = 2--4e" +3xesx
Do not solve the differential equation.
American University of Sharjah
Department of Math and Stat MTH205 Differential Equations Quiz #4
Instructor: A. Sayfy Name: _ Fall 2005 ID#: _
Q1. Find the general solution of the differential equation
y ( 4 ) + y + y = 0 .
Q2. Solve the following IVP
xy
American University of Sharjah
Department of Math and Stat MTH205 Differential Equations Quiz #3
Instructor: A. Sayfy Name: _ Spring 2007 ID#: _
Q1. A certain city had a population of 0.5 million at t = 0 . At t = 10 it increases by 15%. What will be the
American University of Sharjah
Department of Math & Stat MTH205 Differential Equations Quiz # 2
Instructor: Ali Sayfy Spring 2005
Name: _ID#: _ Sec:_
Q1. Classify each of the following differential equation as separable, exact, linear, homogeneous, or Ber
American University of Sharjah
Department of Math and Stat MTH205 Differential Equations Quiz #1
Instructor: A. Sayfy spring 2005
Name: _ID#: _ Sec: _ Q1. Consider the differential equation:
xy =2 y
a) Determine whether the existence theorem guarantees th
V
Math 205, Dz'erential Equations 6)
Review Questions for F nal Exam
1. (1 points). Use Laplace T ransform to solve the following system of dif-
ferential equations (U=Unit step function, 6=Dirac delta function):
:L"(t) + y(t) = Ll(t 2)
:U(t) + y(t)
American University of Shariah
Department of Mathematics and Statistics
Test 1 ------ --
WITH-205, July 132009 Name: K ea
Section: ID #:
artial credit for each right step.
Show all your work. There will be a p
d of undetermined coefcients to nd the
MTH 205 I Review problems / Exam 1 I Summer 08
Q1. Consider the differential equation: y'= Z + J;
x
a) Determine whether the existence theorem guarantees that the differential equation
possesses a unique solution through the point i) (0,0) ? ii) (1,3) ?