CITY UNIVERSITY OF HONG KONG
Department of Mathematics
u
MA3 OO 1 Differential Equations
Smmner 20 1 5
TWO Hours
:1
1 pages (including this cover page)-
Lion and table of Laplace Transforrn are provided in page 4.
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Instructions to candidates:
1. This paper has FOUR questions and attempt ANY THREE of them.
Each question carries 34 marks and the paper has 102 marks in total.
The maximum obtainable mark is 100 marks.
4. Start each question

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CITY UNIVERSITY OF HONG KONG
Course Code & Title: MA3151 Advanced Engineering Mathematics
Session: Semester B, 2008/2009
Time Allowed: Two Hours
This paper has THREE pages (including this cover page and the attached table).
Instructions to candidates:
Thi

Course code and title MA_3 1 5 1 Advanced Engineering Mathematics
Session . Sewster B, 2012/2013
Time allowed Tw'iours
This paper has pages (including this cover page and the attached
table).
Instructions to candidates:
1 . _ This paper has FOUR questions

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This paper has THREE pages (including this cover page and the attached
table).
,
Time allowed Two hours
Instructions to candidates:
1. This paper has FOUR questions.
2. All questions carry equal marks.
3. Answer any THREE questions.
4. S

CITY UNIVERSITY OF HONG KONG
Department of Mathematics
Course code & title : MA3151 Advanced Engineering Mathematics
Session : Semester B, 2005 2006
Time Allowed : Two Hours
: This paper has SIX pages. (Including this page and the table)
Instructions to c

CITY UNIVERSITY OF HONG KONG
Course code & title : MA3151 Advanced Engineering Mathematics
Session : Summer Term 2006
Time allowed : Two Hours
This paper has FOUR pages (including this page).
Table of Laplace transforms is given on page 4.
Instructions to

CITY UNIVERSITY OF HONG KONG
Course Code & Title : MA3151 Advanced Engineering Mathematics
Session : Semester B, 2009/2010
Time Allowed : Two Hours
This paper has THREE pages (including this cover page and the attached table).
Instructions to candidates:

CITY UNIVERSITY OF HONG KONG
Department of Mathematics
Course code & title: MA3001 Differential Equations
Session : Summer Term 2014
Time allowed : Two hours
This paper has FIVE pages (including this cover page).
instructions to candidates:
1. This paper

E "* City University of Hong K0110
MASOOI Midterm Test #1
Senmster 13. 2015/2016
0
Name :
ID :
Tt'm Marks:
Answer 21.11 FIVE nestzionsl
Question 1. (20 points)
Reduce the foilowing equation to a. separable equatit'n'l and nd the general solution:
dy

Form 2B
Form 2B
City University of Hong Kong
Information on a Course
offered by Department of Mathematics
Effective from Catalogue Term of Semester A in 2013/ 2014
This form is for completion by the Course Co-ordinator/Examiner. The information provided o

Department of Mathematics
City University of Hong Kong
MA3001 Differential Equations
Instructor: Dr. Andrea CAPONNETTO,
Office: Y65342, Phone: 3442-6466,
E-mail: [email protected]
Tutor: GAO Huadong,
E-mail:
[email protected]
Lectures
Saturday

1
MA 3001 Differential Equations
Semester B 2016/17, Guo Luo
Supplementary Notes
2
0 Introduction
A differential equation is an equation involving one dependent
variable and its derivatives with respect to one or more independent variables.
Example.
dy

1
MA 3001 Differential Equations
Semester B 2016/17, Guo Luo
Supplementary Notes
2
0 Introduction
A differential equation is an equation involving one dependent
variable and its derivatives with respect to one or more independent variables.
Example.
dy

EE 2004
Week 9 Homework
Solution
Note: As defined in lectures, we denote a pin inside a port as RXY, where X is the port ID
ranging from A-E, and Y is the pin number ranging from 0-7.
1. A switch is connected to RB0 and an LED to RB7. Write a program to g

EE 2004
Week 9 Homework
Note: As defined in lectures, we denote a pin inside a port as RXY, where X is the port ID
ranging from A-E, and Y is the pin number ranging from 0-7.
1. A switch is connected to RB0 and an LED to RB7. Write a program to get the st

City University of Hong Kong
Department of Electronic Engineering
Semester B 2015-2016
EE 2104 Introduction to Electromagnetics
Midterm Examination
March 4th, 2016
Name:_
Student ID:_
Time: 4:00pm 6:00 pm, March 4th, 2016 (LT-15)
Instructions:
1. This is

lliZZ Faith/Lark's? IO
Use the Shift Theorem and the Convolution Theorem to
solve the differential equation:
2
A %+: 4 + 13x _. 9e-Zt- x(0) =x(0)=0
ma
Llixzt + meoth 9,0:ij 9 Ltelif
52m) + 43%;) + :3 m) : 11?ng
(81+ 45+I3)X(> = C? Rs)
f
f) = W (9-)
X6 8+

Quiz 3
Find the Fourier series of the period 2 function that is defined in one period to be
0 < 0
() = cfw_
.
0 <
[Hint: 1. = cos + sin + ; 2. = sin cos + .]

CITY UNIVERSITY OF HONG KONG
TEST#2 MA3001A
25 March 2015
_
Q1 [25 Marks] Using the method of the Inverse Operator find the general solution of the following
differential equation
y ' y ' x e x
Solution:
The auxiliary equation is 3 2 0 , its roots are 0,0

Chapter 2. Higher Order Linear Ordinary Differential Equations with Constant Coefficients
1
2
3
Introduction
Homogeneous Equations
Inhomogeneous Equations
3.1 Method of Undetermined Coefficients
3.2 Method of Variation of Parameters
3.3 Method of Inverse

Problem Set 4:
1.
Systems of Linear differential Equations
dx
d 2x
By putting x1 x, x2
x ', x3 2 x ' , show that the third order differential equation
dt
dt
x1 ' 0 1 0 x1
x ' x ' x ' x 0 can be written in the form x2 ' 0 0 1 x2 . Hence find the genera

Problem Set 5:
Fourier Series
1.
0 2 t 0
Find the Fourier series for the function of period 4, f t
.
1 0 t 2
2.
cos x
Find the Fourier series for the function f x
cos x
3.
Find the Fourier series of the following functions. All are supposed to be perio