ErratA. Ordinary Differential Equations: An Introduction to the Fundamentals 2014 Edition (August 30, 2015)

Transcription

1 ErratA IN Ordinary Differential Equations: An Introduction to the Fundamentals 2014 Edition (August 30, 2015) Notes: Text from the book is printed using this font (Times Roman) Comments are printed using this font (Univers Condensed) Text to be added is underlined and in italics like this Text to be deleted has been struck out like this (And, of course, beware of possible typos in this list of typos.) Chapter 3 (asics about First-Order Eqns), page 48, Theorem 3.1: Delete the comma in the displayed equation. Chapter 3 (asics about First-Order Eqns), page 49, Theorem 3.2: Delete the period in the first displayed equation. Chapter 13 (Gen. Solns. to Homog. Lin. Diff. Eqns), page 297, Theorem 13.5, part 3c, third displayed equation: Replace! #! $ C Ð Ñ œ E with C Ð Ñ œ E. Chapter 17 (Arb. Homog. Lin. Diff. Eqn. w/ Const. Coeffs), page 374, exercise 17.3c, initial conditions: Replace Ð$Ñ C Ð!Ñ œ '#) Ð$Ñ with C Ð!Ñ œ '##.

2 Typos and lunders page 2 Chapter 19 (Nonhomog. Eqn. in General), page 399, exercise 19.13b i & ii: The left hand side of each differential equation should be # w C (C *C Þ Chapter 20 (Method of Guess), page 419, exercise 20.7 e: Replace sinððñ#ñ with sinð#ñ. Chapter 23 (The Laplace Transform), page 470, example 23.9, fourth line from the bottom: Replace # # =$ % with =$ %. Chapter 26 (Convolution), page 531, exercise 26.6e: Replace α Á $ with α Á #. Chapter 26 (Piecewise-Defined Functions), page 564, exercise 27.8g: Replace > " with > #. Chapter 28 (Delta Functions), page 584, exercise 28.7k: Add the initial contition C Ð!Ñ œ!. Chapter 28 (Delta Functions), page 584, exercise 28.76: Add the initial contitions C Ð!Ñ œ! and C Ð!Ñ œ!. w Answers to Selected Exercises, page 593, Chapter 2, exercise 6bii: The answer should be 58, not 50. Answers to Selected Exercises, page 594, Chapter 2, exercise 6biii: The answer should be 14, not 13.

3 Typos and lunders page 3 Answers to Selected Exercises, page 595, Chapter 4, exercise 7m: The answer should be # $ "E/ C œ C œ " "E/#$ and Answers to Selected Exercises, page 595, Chapter 4, exercise 7o: The answer should be #!! "!!E/ C œ and C œ "!! "E/#!! Answers to Selected Exercises, page 595, Chapter 6, exercise 7e: This is not really an error, but the solution to the d.e. can also be written as C œ " E/ C which may be better since it includes the constant solution. Answers to Selected Exercises, page 596, Chapter 6, exercise 7g: The answer should be C œ Èlnkk - Þ Answers to Selected Exercises, page 596, Chapter 7, exercise 4a h: Add an arbitrary constant to each 9. Answers to Selected Exercises, page 596, Chapter 7, exercise 4a: Replace È# G Ê# G with Þ Answers to Selected Exercises, page 596, Chapter 7, exercise 4 -: In the formula for C, replace $ # with Þ Answers to Selected Exercises, page 599, Chapter 11, exercise 2a: To the answer add and C œ G Þ

4 Typos and lunders page 4 Answers to Selected Exercises, page 599, Chapter 11, exercise 3c: To the answer add and C œ F G Þ Answers to Selected Exercises, page 600, Chapter 11, exercise 6e: The answer should be #/ $ ) Þ Answers to Selected Exercises, page 600, Chapter 12, exercise 3a: The answer should be $ # C œ E/ F/ */ Þ Answers to Selected Exercises, page 602, Chapter 16, exercise 7ci: The answer should be " E œ È $( Þ ' Answers to Selected Exercises, page 602, Chapter 16, exercise 7ciii: The answer should be # E œ È "! Þ $ Answers to Selected Exercises, page 605, Chapter 22, exercise 3a: The answer should be C œ $ # # #/ -" - #/ - $ / Þ Answers to Selected Exercises, page 606, Chapter 22, exercise 4c: Replace " " with. )" #( Answers to Selected Exercises, page 607, Chapter 24, exercise 2e: Replace "$ with "$=. Answers to Selected Exercises, page 608, Chapter 26, exercise 4g: Replace cosð>%ñ" with "cos Ð>%Ñ.

5 Typos and lunders page 5 Answers to Selected Exercises, page 608, Chapter 27, exercise 7e: Replace $= '= Answers to Selected Exercises, page 609, Chapter 27, exercise 7f: Replace > = Answers to Selected Exercises, page 609, Chapter 27, exercise 7g: Replace 1>Î# 1=Î# Answers to Selected Exercises, page 609, Chapter 27, exercise 7h: Replace 1>Î% 1=Î% Answers to Selected Exercises, page 609, Chapter 27, exercise 7i: Replace 1>Î' 1=Î' Answers to Selected Exercises, page 609, Chapter 27, exercise 8i: Replace #= $= Answers to Selected Exercises, page 609, Chapter 27, exercise 11c: The convolution is! when 1 >. Answers to Selected Exercises, page 609, Chapter 27, exercise 11g: When " "& "#) "&Ð>%Ñ # % >, the convolution is Answers to Selected Exercises, page 610, Chapter 28, exercise 7c: The answer should be # " $> $Ð>"Ñ "/ "/ step " Ð>Ñ $ $