Differential Equations, Second Edition, by Blanchard, Devaney, Hall. Published by Brooks/Cole Publishing Co., Pacific Grove, CA, 2002.

Known "bugs" in the Second Edition

If you are viewing this page with Firefox or Netscape, the blinking text indicates the corrections that should be made.

How to determine which printing you have: Three quarters of the way down the copyright page (which starts with the "Brooks/Cole Thomson Learning" logo), there is the line

Printed in the United States of America

Below that line is a decreasing list of numbers. The last number in that list is the number of the printing that you have. For example,

10 9 8 7 6 5 4 3 2

indicates that you have the second printing.


Section 1.3, Page 48:
In the second printing, we changed the last sentence just before Exercises 1-6 to:

For more details about HPGSolver and other programs that are on the CD, see the description of DETools that follows the preface of this book.


Answer to Section 1.4, Exercise 15, Page 721:
The graph in the first printing was not quite right. Here is the correct figure:

This mistake was corrected in the second printing.


Answer to Section 1.4, Exercise 17, Page 721:
The graph in the first printing was not quite right. Here is the correct figure:

This mistake was corrected in the second printing.


Answer to Section 1.7, Exercise 15, Page 725:
In the first printing, the answer to part (d) was wrong. It should be:

There are no equilibrium points if a2+4r < 0, one equilibrium point if a2+4r = 0, and two equilibrium points if a2+4r > 0.

This mistake was corrected in the second printing.


Answer to Section 1.7, Exercise 19, Page 725:
In the first printing, the hint assumed that N was negative. Here's the hint from the second printing:


Section 2.1, Page 159:
In the last sentence of the second paragraph, the second reference to Figure 2.14 should really refer to Figure 2.15. The correct text is:

Note that Figure 2.14 comes from the projections of Figure 2.16 into both the ty- and tv-planes and that Figure 2.15 is the projection of Figure 2.16 into the yv-plane.


Section 2.5, Exercise 4, Page 215:
The correct tool to use is ButterflyEffect. In other words, the exercise should read:

Using ButterflyEffect, choose ...

This typo was fixed in the second printing.


Section 3.5, Page 312:
In the computation of the eigenvectors for the eigenvalue -4, we dropped the minus sign in front of the 4y2 in the second simultaneous equation. The correct equation is

3x2 - y2 = -4y2
The rest of the computation is correct.


Answer to Section 3.6, Exercise 33(d), Page 750:
We dropped a minus sign in the expression for k2. The correct expression is:

k2 = -λ0 y0 + v0

This typo was fixed in the second printing.


Answer to Section 3.7, Exercise 13(b), Page 750:
In the first printing, the figure has an incorrect phase portrait at the origin in the TD-plane. Here is the correct figure:

The figure was redrawn for the second printing.


Section 4.2, Page 391:
In the first full sentence on the page, the forcing function is 4 cos 2t. In other words, the correct text is:

A particular solution yp(t) of the original equation with forcing 4 cos 2t is the ...


Section 4.2, Page 392:
In the second (and last) paragraph on the page, we switched the values of k1 and k2. In other words, the correct values are k1=20/13 and k2=4/13.


Answer to Section 5.1, Exercise 17, part (d), Page 758:
The eigenvectors for eigenvalue 0 lie on the x-axis, and the eigenvectors for eigenvalue 1 lie on the y-axis.


Answer to Section 5.2, Exercise 3, Page 761:
The arrow on the portion of the x=1 nullcline that is above the point (1,1) should be pointing down. Here is the correct figure:


Answer to Section 5.3, Exercise 15(b), Page 765:
In the first printing, the figure has an equilibrium point at the origin, and it really should be at (0,1). Here is the correct figure:

The figure was redrawn for the second printing.


Section 5.4, Exercise 24, Page 510:
In the second printing, we changed the value of the parameter m2 to 0.05. If you have the first printing, use m2 = 0.05 in place of m2 = 0.01.


Section 6.5, Page 590:
About two-thirds of the way down the page, there is a sentence that starts "This is an unpleasant..." The function y(t) given in the following displayed equation is NOT the solution to the initial-value problem that is given in the text. The correct solution is

y(t) = (1/5) e-t - (1/5) cos 2t + (1/10) sin 2t

By the way, we hardly need a computer algebra system to find y(t). It is easier to use the guessing technique from Section 4.1.


Section 6.6, Page 597:
In line 13, we say natural frequency when we really should say natural period.


Lab 7.1, Page 644:
The right-hand side of the differential equation has one term with an extra y in it. It should be

y2-4ty+4t2-4y+8t-3.


Answers to Appendix A, Page 776:
Our production folks forgot to include Page 776 during the first printing of the book, but it is in the second printing.

If you have a copy of the first printing, you can get that page in Adobe's PDF format by clicking here.


While we have tried hard to eliminate errors in this edition of the text, undoubtedly my coauthors missed a few. If you do find an error or other infelicity, please let us know by clicking here and sending e-mail to odes@math.bu.edu. We also appreciate hearing any comments you might like to make about the text. We'll try to respond, but even if the email arrives at a busy time, you can be sure that we'll read it with interest.


Special thanks to David Arnold, Andrew Auerbach, Marina Bevzushenko, Roger Bingham, Adam Boritz, Brian Bradie, David Brown, Barbara Cavalieri, Richard J. Charnigo, Jr., Steve Clayton, Matt Corbo, Elwood Devaney (the true mathematical genius in the Devaney clan), Killer Devaney, David Dudley, Emily Edwards, Murray Eisenberg, Mark Farris, Greg Fredericks, Simrat Ghuman, Greg Glatt, Michael Hayes, Tyler Haynes, Ben Haytock, Stephen Hrutka, Mike Hurley, Dick Jardine, Vikram Kapur, Alexander Levichev, Wally Lofaro, Tony Magni, Sebastian Marotta, Andres Martinez, Alejandro Montes, Justin Morgan, Kent Morrison, Mark Omodt, Wes Ostertag, Rhiannon Peasco, Steve Pennell, Paul Porch, Jenny Price, Tiffany Psemeneki, Avijit Purkayastha, Tom Read, Peggy Rejto, Kevin Rich, Boyd Schiemann, Jason Schlabach, Ann Sitomer, George Spencer, Phillip Straffin, Stanislaw Szarek, Thom Tyrrell, Fritz Ward, Bob Worth, and Di Wu for pointing out errors to us.