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Unformatted text preview: UNIVERSITY OF WATERLOO FINAL EXAMINATION FALL TERM 2007 Student Name (Print Legibly) ( family name ) ( given name ) Signature Student ID Number COURSE NUMBER AMATH 250 COURSE TITLE Introduction to Differential Equations COURSE SECTION(s) 001 DATE OF EXAM Saturday, December 15, 2007 TIME PERIOD 16:00  18:30 DURATION OF EXAM 2.5 hours NUMBER OF EXAM PAGES 11 INSTRUCTOR J. West EXAM TYPE Closed Book ADDITIONAL MATERIALS ALLOWED NONE Notes: 1. Fill in your name, ID number and sign the paper. 2. Answer all questions in the space provided. Continue on the back of the preceding page if necessary (indicate this). Show ALL of your work. 3. Check that the examination has 11 pages. 4. Your grade will be in fluenced by how clearly you express your ideas, and how well you organize your solutions. 5. The last page is a formula sheet, and may be torn off. It will not be marked, how ever please hand it in with your exam. Marking Scheme: Question Mark Out of Cover Sheet 1 1 15 2 10 3 10 4 16 5 17 6 21 7 10 Total 100 AMATH 250  Final Exam. Fall Term 2007 Page 2 of 11 1. First order DEs. a) Find all possible solutions to the DE dy dx = y . [2] b) Find all possible solutions to the DE dy dx = 2 xy +2 x 3 , then give a qualitative sketch of the solutions, labelling isocline(s) with dotted lines. [13] AMATH 250  Final Exam. Fall Term 2007 Page 3 of 11 2. Solve the following initial value problem (IVP) for2....
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This note was uploaded on 05/23/2010 for the course MATH 135 taught by Professor Andrewchilds during the Fall '08 term at Waterloo.
 Fall '08
 ANDREWCHILDS
 Algebra

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