Systems of differential equations
Systems of differential equations
Ordinary Differential Equations
1
Barry Croke
Systems of differential equations
Systems of differential equations: what are they?
Mo
Ordinary Dierential Equations
Barry Croke
Semester 1, 2016
Based on notes written by Lilia Ferrario, Linda Stals and Dayal
Wickramasinge
1
Contents
1 Introduction
1.1 Mathematical models . . . . . . .
THE AUSTRALIAN NATIONAL UNIVERSITY
FIRST SEMESTER EXAMINATIONS 2008
MATHEMATICS MATH2305:
DIFFERENTIAL EQUATIONS AND APPLICATIONS
Writing period: 3 hours
Study period: 15 minutes
Permitted materials:
THE AUSTRALIAN NATIONAL UNIVERSITY
FIRST SEMESTER EXAMINATIONS 2007
MATHEMATICS MATH2305:
DIFFERENTIAL EQUATIONS AND APPLICATIONS
Writing period: 3 hours
Study period: 15 minutes
Permitted materials:
Q1
Q2
Q3
Total
The Australian National University
Final - June 2009
MATH2305 - Differential Equations and Applications.
Student No.:
Important notes:
You must justify your answers. Be neat. Check you
Q1
Q2
Q3
Q4
Q5
Total
The Australian National University
Final - First Semester 2013
MATH2305 - Differential Equations and Applications.
Student No.:
Important notes:
You must justify your answers. Be
Q1
Q2
Q3
Q4
Q5
Total
The Australian National University
Final - First Semester 2012
MATH2305 - Differential Equations and Applications.
Student No.:
Important notes:
You must justify your answers. Be
Q1
Q2
Q3
Q4
Q5
Total
Final Exam - First Semester 2014
Differential Equations and Applications
(MATH2305)
Student No.:
Important notes:
You must justify your answers. Be neat. Check your answers where
Q1
Q2
Q3
Q4
Total
The Australian National University
Final - First Semester 2011
MATH2305 - Differential Equations and Applications.
Student No.:
Important notes:
You must justify your answers. Be ne
Introduction
Introduction
Ordinary Dierential Equations
Barry Croke
1
Introduction
Mathematical models
Setting up a mathematical model
Semester 1, 2016
Basic concepts and denitions
Solutions of DEs
Pa
Vector Calculus
Lilia Ferrario
Semester 1, 2016
Based on notes written by Lilia Ferrario and Linda Stals
1
Contents
1 Introduction
2 Vector Fields
2.1 Vector Fields on R2 . . .
2.2 Vector Fields in R3
Dr. B. Croke and Dr. L. Ferrario
Department of Mathematics
Australian National University
First Semester 2017
MATH2305 - Applied Mathematics I
(Assignment 1.)
Question: 1 (Separable equations)
3P.
In
Q1
Q2
Q3
Q4
Total
Midsemester - First Semester 2015
DIFFERENTIAL EQUATIONS AND APPLICATIONS
(MATH2305)
Student No.:
Important notes:
You must justify your answers. Be neat. Check your answers where p
Higher order linear differential equations
Higher order linear differential equations
Ordinary Differential Equations
1
Barry Croke
Semester 1, 2016
Higher order linear differential equations
Higher o
Second order homogeneous linear differential equations
Second order homogeneous linear differential equations
1
Ordinary Differential Equations
Barry Croke
Second order homogeneous linear differential
Non-homogeneous differential equations
Non-homogeneous differential equations
Ordinary Differential Equations
1
Non-homogeneous differential equations
Notation and definitions
General solution and par
Q1
Q2
Q3
Total
The Australian National University
Midsemester - First Semester 2011
MATH2305 - Differential Equations and Applications.
Student No.:
Important notes:
You must justify your answers. Be
THE AUSTRALIAN NATIONAL UNIVERSITY
MID-SEMESTER EXAM
APRIL 2007
MATHEMATICS MATH2305:
DIFFERENTIAL EQUATIONS AND APPLICATIONS
Writing period: 2 hours
Study period: 15 minutes
Permitted materials: Non-
Q1
Q2
Q3
Total
The Australian National University
Midsemester - First Semester 2010
MATH2305 - Differential Equations and Applications.
Student No.:
Important notes:
You must justify your answers. Be
Q1
Q2
Q3
Q4
Total
The Australian National University
Midsemester - First Semester 2012
MATH2305 - Differential Equations and Applications.
Student No.:
Important notes:
You must justify your answers.
Q1
Q2
Q3
Total
The Australian National University
Midsemester - April 2009
MATH2305 - Differential Equations and Applications.
Student No.:
Signature:
Important notes:
You must justify your answers.
Mathematical models
Mathematical models
Ordinary Differential Equations
Barry Croke
Semester 1, 2016
1
Mathematical models
Matlab
Population dynamics
Newtons law of cooling/warming
Spread of disease
C