Homework 1. Fri, 1/25:
Calculus book 7.7 (p. 355) 4,5,9,11,15,17,29,31,35,38,39,40
Calculus book 7.8 (p. 359) 5,7,9,15,19,23,25,27,28,30,31
One more problem
Homework 2. Wed, 1/30:
Calculus book 9.1 (p. 441) 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 45,
49, 55, 56
Calculus book 9.2 (p. 448) 11, 12, 13, 14, 17, 18, 19, 21, 25, 28
Homework 3. Wed, 2/6:
Calculus book 9.3 (p. 454) 33, 37
Calculus book 9.4 (p. 461) 63
Most of the problems
NOTE: Most of the problems are in the pdf.
Homework 4. Wed, 2/13:
Calculus book 9.5 (p. 469) 7, 9 , 13, 19, 21, 26, 27, 29 31 35
Calculus book 10.1 (p. 484) 7, 9, 12, 15, 21, 25 29, 31, 35
One more problem
Homework 5. Wed, 2/20:
Calculus book 10.2 (p. 489) 5, 6, 11, 15, 19, 21, 27, 31, 38
Calculus book 10.3 (p. 495) 3, 5, 9, 11, 12, 15, 17, 21, 25, 31, 33
Calculus book 10.4 (p. 501) 1, 3, 13b, 15
One more problem
Homework 6. Fri, 2/29:
Homework 7. Wed, 3/5:
Homework 8. Wed, 3/12:
Homework 9. Wed, 3/26:
All the problems
Dif. Eq. book 6.2 (p. 238) 1, 2, 13, 14 abf
Hint for 13: differentiate the first dif. eq. and then eliminate y and y' from the result.
Dif. Eq. book 6.3 (p. 248) 1 aceko, 3 aceg, 10, 14 abc
More problems
Dif. Eq. book 6.4 (p. 253) 12, 16a
Dif. Eq. book 6.5 (p. 265) 3, 7, 12
Dif. Eq. book 6.6 (p. 270) 1 ace, 3, 5 (part i,ii and iii)
One more problem
Dif. Eq. book 6.7 (p. 276) 3, 4
Dif. Eq. book 7.1 (p. 282) 1 ace, 3
Dif. Eq. book 7.2 (p. 292) 5 abcegik, 6ab, 7ac, 14, 19, 21
Homework 10. Wed, 4/2:
Dif. Eq. book 7.3 (p. 309) 5,6 7, 11
Dif. Eq. book 9.1 (p.388) 1 acdegij, 3ace.
For each system in problem 1, classify the
solutions as one of : stable node (sink), unstable node (source),
saddle, stable spiral, unstable spiral or center (periodic).
In problem 3, note that the systems are closely related to systems
in problem 1. Problem 3 should take very little time.
Homework 11. Wed, 4/16:
Dif. Eq. book 9.1 (p.388) 3ce, 5.
(Note that 3ce were assigned last time, but now we know how to do them!)
Dif. Eq. book 9.3 (p.407) 1aei.
You can check your answers by
checking that they satisfy the differential equation for dy/dx that
gives the trajectories in the phase plane.
Dif. Eq. book 9.5 (p.428) 3, 5acegi, 9.
In problem 5, ignore the stuff about the "fundamental matrix" and just
solve the system by finding the eigenvalues and eigenvectors.
Problem 3 is rather theoretical, but give it a try.
One more problem.
This problem was based on a
published article. You may need to be on a university computer for this link to work.
Homework 12. Wed, 4/23:
Dif. Eq. book 8.2 (p.330) 1 aceg, 3ac. In problem 1, ignore the
part of the question that refers to the Oscillation and Relation
theorems.
Dif. Eq. book 8.3 (p. 336) 1, 2, 3 ac
Dif. Eq. book 8.4 (p. 341) 3 cgik
Two more problems.
Homework 13. Wed, 5/7:
Part I. This stuff will be on the exam on April 30.
There is only a pdf file for part I.
Part I solutions
Part II.
There is only a pdf file for part II.