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Unformatted text preview: Be sure this examination has 3 pages, including one page that just has a table. The University of British Columbia Final Examinations  April 2005 Mathematics 215: Elementary Differential Equations I Section 201  John Fournier Section 202  Pichmony Anhaouy Closed book examination. Time: 2.5 hours = 150 minutes. Special Instructions: No aids allowed, except for one coloured lettersize formula sheet. Write your answers in the answer booklet(s). If you use more than one booklet, put your name and the number of booklets used on each booklet. Show enough of your work to justify your answers. 1. (16 points) Compute solutions for the following initialvalue problems, and find the largest tintervals in which those solutions are valid. Could those intervals change if we changed the initial value y (2) to some other number y (2)? Explain briefly. (a) t dy dt + 3 y = 6 t 3 , y (2) = 8. (b) dy dt + 2 ty 2 = 2 y 2 , y (2) = 8. 2. (16 points) Consider the differential equation 2 y + 2 y + 0 y = F ( t ) , where one F ( t ) is used in part (a) below, and another is used in the rest of the question.) is used in part (a) below, and another is used in the rest of the question....
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This note was uploaded on 01/23/2011 for the course MATH 100,200,30 taught by Professor Dr.alejandrocortas during the Winter '10 term at The University of British Columbia.
 Winter '10
 Dr.AlejandroCortas
 Math, Equations

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