MA 3471 ODE | Homework

Ordinary Differential Equation MA 3471 D10

Joseph D. Fehribach

Syllabus of Homework Assignments

Walter Kelley and Allan Peterson, The Theory of Differential Equations, Classical and Qualitative,

Pearson Educational, Inc. (Pearson/Prentice Hall), 2004.


1	1.1	pp. 15-19	Due Friday, 19 March 2010	#A (below), 1.4, 1.5i,iii, 1.9

2	2.6	pp. 72-80	Due Tuesday, 23 March 2010	#2.3ii, 2.4, 2.5ii, 2.7, 2.18, 2.19ii, 2.22

3	2.6	pp. 72-80	Due Friday, 26 March 2010	#2.19i (find e^At), 2.24, 2.51i,iii

4	2.6	pp. 72-80	Due Thursday, 1 April 2010	#2.54ii, 2.58, 2.59, 2.60

5	3.9	pp. 142-152	Due Tuesday, 6 April 2010	#3.1, 3.2iii, 3.5, 3.7i, ii, iii, 3.12

6	3.9	pp. 142-152	Due Friday, 9 April 2010	#3.8i, 3.9i, 3.11i, iv, 3.15, 3.20

7	3.9	pp. 142-152	Due Friday 16 April 2010	#B (below), 3.37, 3.40, 3.52

8	4.4	pp. 179-184	Due Tuesday 20 April 2010	#C (below), 4.2, 4.7, 4.20, 4.28

9	8.11	pp. 386-391	Due Monday 26 April 2010	#8.2b,d, 8.4, 8.11, 8.13, 8.21

10	8.11	pp. 386-391	Due Friday 30 April 2010	#8.14, 8.15, 8.16, 8.24, 8.25

11	5.10	pp. 264-271	Due Monday 3 May 2010	# 5.1ii, iii, 5.15ii, iii, 5.17, 5.18, 5.19, 5.21!

Color Code Key

99 Problem whose solution in the back of the text is incomplete or wrong, or whose statement in the text is not precisely correct.

# A. Please solve and give the maximum interval of existence for
- ( i) x′ = 2t /(t² - 25), x(0) = ln(25)
- (ii) x′ = tan(t ), x(0) = 0
# B. Please show that the system (3.46), (3.47) can be transformed to the equivalent polar form we discussed in class: r ′ = r (1 - r²), θ′=-1
# C. Please find the second order solution x₂ for the IVP in Example 4.1, pp. 153-154.

Quiz Solutions

D08: Quiz 1, Quiz 2, Quiz 3

D10: Quiz 1, Quiz 2, Quiz 3

Final Exam Solutions

D08: Page 1, Page 2, Page 3

D10: Page 1, Page 2, Page 3

JDF (E-Mail: bach@wpi.edu)
Last Updated: Friday 7 May 2010
Copyright 2008, 2010, Joseph D. Fehribach

Ordinary Differential Equation MA 3471 D10 Joseph D. Fehribach Syllabus of Homework Assignments