MTH 279
Ordinary Differential Equations
Chapter 6 are both Heaviside problems.)
HW Lebl 6.2: 101, 102 (TheseThe Laplace
Howell 26.2 f, 26.4 b, 26.6 a, b, 26.9 c
transform
6.2 problems are really of derivatives
7 homeworkTransformsnot enough. You should on
MTH 279
Ordinary Differential Equations
HW Lebl 6.1: 101 Hint: expandThe Laplace Hint: We
104
Chapter 6 (t + 1)2, 102, 103,than integration
will have a method for 103 and 104 that is easier
by parts.
transform
Howell 24.8, 24.6 c, e, g (dont worry too muc
MTH 279
Ordinary Differential Equations
HW Lebel 6.3: 101, 102, 103
Howell 27.2 a, b, c, 27.4 a, b, c, e, 27.5 a, b, c (integral solution
only, you may omit transfer function and impulse response
function)
Chapter 6 The Laplace
transform
6.3 Convolution
M
MTH 279
Ordinary Differential Equations
Chapter 3 Systems of ODEs
HW Lebl 3.4: 101, 102, 103, 104
3.4 Eigenvalue method
For more practice, OPTIONALLY do Schaums Solutions of Linear
Differential Equations with Constant
Coefficients by Matrix Methods 16, 19
MTH 279
Ordinary Differential Equations
HW Lebl 2.4: 101, 102, 103
Howell 17.10, 17.11. You do not need to graph your solution.
Chapter 2 Higher order linear
ODEs
2.4 Mechanical vibrations
MTH 279 2.4
1
Derive the differential equation
which models this:
MTH 279
Ordinary Differential Equations
HW Lebl 3.1 103
Lebl 3.3: 101, 102, 103, 104
Howell 36.9 a, b, e, h, 37.2
Chapter 3 Systems of ODEs
3.3 Linear systems of ODEs
MTH 279 3.3
1
MTH 279 3.3
2
et c a scalar and let C be a constant matrix.
MTH 279 3.3
3
MTH 279
Ordinary Differential Equations
HW Exercises 2.6: 101, 102, 103.
Chapter 2 Higher order linear
This section has some very important ideas, but the formulas
ODEs
involved are a bit too complicated for typical hw/test purposes .
While doing hw based
MTH 279
Ordinary Differential Equations
Chapter 1 First order ODEs
1.4 5.4, 10.12 a, c, d, e, 10.16, 10.17and the
Linear equations
Howell 5.3,
integrating factor
HW Lebl 1.4: 101, 102, 103, 104 (expect a huge number for the
answer to exercise 104)
MTH 279
MTH 279
Ordinary Differential Equations
Chapter 2 Higher order linear
ODEs
2.3 Higher order linear ODEs
HW Lebl 2.3: 101, 102, 104, 105
Howell 18.4
MTH 279 2.3
1
Equations that appear in applications tend to be second order.
Higher order equations do appe
MTH 279
Ordinary Differential Equations
Chapter 2 Higher order linear
ODEs
2.1 Second order linear ODEs
HW Lebl 2.1: 101, 102, 103, 104
Howell 19.2 a, b, c
MTH 279 2.1
1
MTH 279 2.1
2
Proof:
MTH 279 2.1
3
The proof becomes even simpler to state if we use
MTH 279
Ordinary Differential Equations
Chapter 1 First order ODEs
1.7 Numerical methods: Eulers
method
HW Lebl 1.7: 101, 102, 103. You should make a spreadsheet
which will allow you to easily do these problems. (Lebl problems
RECOMMENDED, but not require
MTH 279
Ordinary Differential Equations
Chapter 2 Higher order linear
ODEs
2.2 Constant coefficient second
MTH 279 2.2
order linear ODEs1
HW Lebl 2.2: 101, 102, 103, 104, 105
Howell 16.1, 16.2, 16.3, 19.2 d. You should also do 16.5 for extra
practice, but
MTH 279
Ordinary Differential Equations
Chapter 1 First order ODEs
1.4 5.4, 10.12 a, c, d, e, 10.16, 10.17and the
Linear equations
Howell 5.3,
integrating factor
HW Lebl 1.4: 101, 102, 103, 104 (expect a huge number for the
answer to exercise 104)
MTH 279
MTH 279
Ordinary Differential Equations
HW Lebl 1.2: 101, 102, 103. Exercise 101 specifically asks for the
sketch of a slope field. Experimenting with slope fields may be
helpful for exercises 102 and 103. You should use DFIELD to
sketch any slope fields
MTH 279
Ordinary Differential Equations
Chapter 1 First order ODEs
1.6 Autonomous equations
HW Lebl 1.6: 101, 102, 103
MTH 279 1.6
1
Most of my PowerPoint slides follow Notes on DiffyQs: Differential
Equations for Engineers, by Jiri Lebl. In fact, much of
MTH 279
Ordinary Differential Equations
HW Lebl 1.1: 101, 102, 103, 104; Howell 2.3 a-I, 2.6 a, b
Chapter 1 First order ODEs
1.1 Integrals as Solutions
MTH 279 1.1
1
Most of my PowerPoint slides follow Notes on DiffyQs: Differential
Equations for Engineer