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# oldexam - MAT 2331 C DIFFERENTIAL EQUATIONS AND NUMERICAL...

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MAT 2331 C DIFFERENTIAL EQUATIONS AND NUMERICAL METHODS Final Exam April 27, 2005 Instructor: Dr. Steve Desjardins Duration: 3 hours Name: Student Number: Instructions: - Print your name and student number on this page. - Verify that your copy of the exam has all 11 pages. - You must answer all questions. There are 8 questions worth a total of 60 marks. - Write your answers in the spaces below the questions. You may use the backs of the pages if necessary. Use the backs of the formula pages for rough work if needed. - There are 2 pages of formulas (which may be detached) at the end of the exam. - No Notes or Books. - Basic scientific calculators only - graphing and/or pro- grammable calculators are NOT permitted.

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MAT 2331 C W05 – Final Exam 2 Question 1 (7 marks) Solve the initial value problem: (6 xy 2 - 3 x 2 y 3 + 2 y ) dx + (9 x 2 y - 4 x 3 y 2 + 4 x ) dy = 0 , y (1) = 1 .
MAT 2331 C W05 – Final Exam 3 Question 2 (8 marks) Solve the initial value problem: y - 2 y - 3 y = 6 + 10 cos x, y (0) = 3 , y (0) = - 3 , y (0) = 0 .

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MAT 2331 C W05 – Final Exam 4 Question 3 (8 marks) Solve the initial value problem: y - 2 y + y = x e x , y (0) = 2 , y (0) = 1 .
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