Introduction to Differential Equations 2e
by Mark H. Holmes
Ordering: The ISBN is 9781975077204. It is available from Amazon, as well as directly from the publisher XanEdu Publishing. It costs about $54, and you get a softcover (full color) spiral bound textbook as well as access to a digital version.
Preface and table of contents
Index
Typos
Videos for:
Chapter 3
Chapter 4
Chapter 5
Chapter 7
Author Information
 Mark H. Holmes
 Department of Mathematical Sciences
 Rensselaer Polytechnic Institute, Troy, NY 12180 USA
 holmes (@rpi.edu)
Page Last Updated: 11/1/2020


 

Figures From Text
Table 1.1 for Exercise 7 (pg 5)
Figures from Chaps 27 (all of them)
Videos for Chapter 3
Below are links to MATLAB generated videos related to the examples in the chapter.
Zipped folder including all Chapter 3 videos.
Section 3.10.2: Linear Oscillator
Example A for u(0) = 0, u'(0) = 1, k = 4
Example B for u(0) = 1, u'(0) = 1, k = 4
Example C for u(0) = 0, u'(0) = 3, k = 4
Example D for u(0) = 0, u'(0) = 1, k = 16
Section 3.10.3: Damped Oscillator (the damping mechanism is not shown in the videos)
Example A for u(0) = 0, u'(0) = 1, k = 4, c = 5 (over)
Example B for u(0) = 0, u'(0) = 1, k = 4, c = 4 (critical)
Example C for u(0) = 0, u'(0) = 1, k = 4, c = 0.5 (under)
Example D for u(0) = 0, u'(0) = 1, k = 4, c = 0.01 (weak)
Videos for Chapter 4
Below are links to MATLAB generated videos related to the examples in the chapter.
Zipped folder including all Chapter 4 videos.
Section 4.6: Phase Plane
Two Positive Eigenvalues
One Positive and One Negative Eigenvalue
Complex Eigenvalues
Videos for Chapter 5
Below are links to MATLAB generated videos related to the examples in the chapter.
Section 5.1: NonLinear Systems
Solution Curves
Videos for Chapter 7
Below are links to MATLAB generated videos related to the examples in the chapter.
Zipped folder including all Chapter 7 videos.
Section 7.3: Diffusion Equation (D = 1)
Example 1 for u(x,0) = 3sin(pi*x)
Example 2 for u(x,0) = 3sin(pi*x/2)4sin(3*pi*x/2)+5sin(2*pi*x)
Example 3 for u(x,0) = bump
Section 7.4: Fourier Series
Example 3 g(x) = piecewise linear
Example 4 g(x) = step
Example 5 g(x) = step (cosine series)
Example A g(x) = exp(x)
Example B g(x) = cos(3pi*x)
Example C g(x) = x^2
Section 7.5: Wave Equation (c = 1)
Example 1 u(x,0) = 3cos(pi*x)
Example A u(x,0) = x^2(1x)^2
Example B u(x,0) = x^2(1x)^2(x0.25)
Example C u(x,0) = x^2(1x)^2sin(17x/3)
Example D u(x,0) = bump