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Unformatted text preview: UNIVERSITY OF WATERLOO TERM TEST #1 SPRING TERM 2008 COURSE AM 250 COURSE TITLE INTRODUCTION TO DIFFEREN- TIAL EQUATIONS SECTION(S) 001 HELD WITH COURSE(S) N/A SECTION(S) OF HELD WITH COURSE(S) N/A DATE OF EXAM June 9th, 2008 TIME PERIOD 4:30 - 5:20 pm DURATION OF EXAM 45 minutes NUMBER OF EXAM PAGES (including this cover sheet) 5 pages INSTRUCTOR D. Harmsworth EXAM TYPE Closed book ADDITIONAL MATERIALS ALLOWED Scientific Calculator Name (print) ID Number Signature Instructions: 1. Print your name and ID Number on this page and sign it. 2. Answer the questions in the space pro- vided. Continue on the back of the page if necessary. Show all your work. 3. The last page may be removed and used for rough work. 4. Your grade will be influenced by how clearly you express your ideas and by how well you organize your solutions. MARKING SCHEME Question Value Mark 1 15 2 15 3 10 Total 40 AM 250 - Term Test #1 Spring Term 2008 1. (a) Find the general solution to the DE x 2 dy dx + 3 xy = 6.  (b) Produce a qualitative sketch of the family of solutions, using information from both the...
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