MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 4
School of Mathematics and Statistics
The University of New South Wales
Updated August 23, 2015
Problems
1. Using the power series method, find solutions to the followin
MATH2121
Theory and Applications of Dierential
Equations
Tutorial Problems
Chapter 4
School of Mathematics and Statistics
The University of New South Wales
Updated August 31, 2016
Problems
1. Determine the equilibrium points of the following systems of di
MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 5
School of Mathematics and Statistics
The University of New South Wales
Updated August 26, 2016
Problems
1. Show that the DE
x2 y 00 + sin x y 0 y = 0
has a regular sing
MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 3
School of Mathematics and Statistics
The University of New South Wales
Updated July 31, 2016
Problems
1. Using the power series method, find solutions to the following
!
Faculty of Science
SCHOOL OF MATHEMATICS & STATISTICS
MATH2121
THEORY AND APPLICATIONS OF
DIFFERENTIAL EQUATIONS
SEMESTER 2, 2015
CRICOS Provider No: 00098G 2015, School of Mathematics and Statistics, UNSW
Course Staff
The Course Convenor is Dr Anna Ca
2
Series Methods
In this chapter we will study methods for solutions to the linear 2nd order ODEs.
y + p(x)y + q(x)y = r(x).
(110)
The Cauchy-Euler ODE shown in Chapter 1 is of this type and could be solved by a change
of the independent variables. The va
MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 2
School of Mathematics and Statistics
The University of New South Wales
Updated August 11, 2015
Problems
1. State whether the following are true or false.
(i) If the Wro
MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 2
School of Mathematics and Statistics
The University of New South Wales
Updated August 6, 2015
Problems
1. Determine the equilibrium points of the following systems of d
MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 5
School of Mathematics and Statistics
The University of New South Wales
Updated August 28, 2015
Problems
1. Show that the DE
x2 y 00 + sin x y 0 y = 0
has a regular sing
MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 1
School of Mathematics and Statistics
The University of New South Wales
Updated July 29, 2015
Obtaining Course Information
All information about Math2121 is available vi
MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 6
School of Mathematics and Statistics
The University of New South Wales
Updated August 28, 2015
Problems
1. For the boundary value problems, find the values of the real
MATH2121
Theory and Applications of Differential
Equations
Tutorial Problems
Chapter 7
School of Mathematics and Statistics
The University of New South Wales
Updated August 28, 2015
Problems
1. Show that the functions u(x, t) given below are separable sol