Unformatted text preview: MATH 310 Differential Equations Homework Exercises, Set 1 Summer 2011 Quiz on Wednesday, 14 September 2011 Course Information is on WebCT Textbook references are to: Boyce and DiPrima "Elementary Differential Equations and Boundary Value Problems" (9th edition). Notes: Read Section 1.1 carefully to assist you with these exercises. This set of problems is shorter than usual, as the semester is just beginning. . . Reading: Sections 1.1, 1.2; 2.3 (first few pages) Look at Section 1.4 (historical background) for interest Problems to prepare for quiz (no need to hand in): Section 1.1, # 3, 11; 15, 18, 19 Direction fields; longtime behaviour To sketch or identify a direction field, consider for which y values the function y(t) is increasing, and where it is decreasing. The longtime behaviour (as t ) can then be deduced from the direction field. #11: To assist you, you may wish to generate the direction field using Maple or other software; you will have to choose a sensible domain and range. # 21, 22 Formulating differential equation models #21: The fundamental balance is rate of change = rate in  rate out. Carefully consider each term in the DE; ensure that all dimensions agree. Example 1 of Section 2.3 might help. #22: What is the relationship between volume and surface area for a sphere? # 12 Carbon dating (exponential decay) Section 1.1, Section 2.3, You are strongly encouraged to look at and work through other problems; the following is a suggested selection of other useful or interesting (optional) exercises: Section 1.1, Section 2.3, # 1, 5, 16, 17, 20; 25 Direction fields; writing down DE # 7, 8 Compound interest (see Example 2 of Section 2.3) ...
View
Full
Document
This note was uploaded on 01/30/2012 for the course MATH 310 303 taught by Professor Rwk during the Spring '11 term at Simon Fraser.
 Spring '11
 RWK
 Math, Differential Equations, Equations

Click to edit the document details