# samplemid - (7 marks Solve the initial value problem(4 xy-3...

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MAT 2331 B DIFFERENTIAL EQUATIONS AND NUMERICAL METHODS MIDTERM October 25, 2005 Instructor: Dr. Steve Desjardins Duration: 80 minutes Name: Student Number: Instructions: - Print your name and student number on this page. - Verify that your copy of the exam has all 6 pages. - There are 5 questions worth a total of 30 marks. - You must answer all questions. - Write your answers in the spaces below the questions. You may use the backs of the pages if necessary. - No Notes or Books. - Basic scientiﬁc calculators only - graphing and/or programmable calculators are NOT permitted.

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MAT 2331B – Midterm 2 Question 1. (4 marks) Solve the initial value problem: (1 + x 2 ) y 0 = 2 y, y (0) = 3 .
MAT 2331B – Midterm 3 Question 2.

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Unformatted text preview: (7 marks) Solve the initial value problem: (4 xy-3 y 2 sin x ) dx + (4 x 2 + 9 y cos x + 2) dy = 0 , y (0) = 1 . MAT 2331B – Midterm 4 Question 3. (6 marks) Solve the initial value problems: (a) y 00-2 y + 5 y = 0 , y (0) = 2 , y (0) = 0 (b) x 2 y 00-5 xy + 9 y = 0 , x > , y (1) = 1 , y (1) = 6 MAT 2331B – Midterm 5 Question 4. (8 marks) Find the general solution of the diﬀerential equation: y 00-5 y + 6 y = 6 x 2-10 x + 2-2 e 2 x . MAT 2331B – Midterm 6 Question 5. (5 marks) Use Newton’s Method to ﬁnd the point of intersection of the curves y = ln x and y = 4-x 2 to 4 decimal places. Start with x = 2 ....
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samplemid - (7 marks Solve the initial value problem(4 xy-3...

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