MA 532-001 Fall 2003
Ordinary Differential Equations I
Mathematics
Homework Assignments
Due Friday, Aug. 29
Due Friday, Sept. 5
Due Friday, Sept. 19
P. 26, Exercise 1.35, parts 1 - 4. On part 2 you should find the alphas for which the origin is stable or asymptotically stable. Suggestion: Try V(x,y)=x^2+Ay^2, A>0.
P. 27, Exercise 1.36 (3). Just figure out whether the origin is Lyapunov stable.
From the sheet Supplementary Problems 3: problems 1, 2, 3, 4(a).
Due Friday, Sept. 26
Due Friday, Oct. 17
Due Friday, Oct. 17
Due Friday, Oct. 24
Supplementary Problems 5: problems 3 d, e, f, g.
Page 23, Exercise 1.29. Ignore the pendulum equation; just work on the second differential equation. Assume omega > 0 and lambda > 0.
Page 149, Exercise 2.29. See hint.
Due Friday, Oct. 31
Supplementary Problems 6: all problems.
Page 161, Exercise 2.44. If you want, you can change the last line to norm(x_0) less than or equal to delta, which is the way we set things up.
Due Friday, Nov. 14
Due Friday, Dec. 5
Supplementary Problems 8, problem 1 and any three of problems 3 to 8. For extra credit you can do more from problems 3 to 8.
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Last modified Mon Nov 24 2003
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