DEspring06test3

DEspring06test3 - Differential Equations Mid Term...

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Unformatted text preview: Differential Equations Mid Term Examination - III (Spring- 2006) MTH 2201 Duration: 1 hour 4/4/2006 Max. Credit: 25points Answer all the questions. No credit will be given if only the answer is written without showing the relevant supporting work. Write legibly. The numbers at the end of each question indicate the maximum credit for the corresponding question. 1. Use Laplace transform to solve the IVP y + y = sint, y(0) = 1, y (0) = -1. [6] 2. Evaluate the Laplace transform L{t t 0 e- d }. [4] [4] 1 3. Find the inverse Laplace transform of { s2 +1) }. 4. Let a = 1 2 4 ,b= ,c= . 2 6 0 Express the linear combination a - b + 7c as a matrix product. [4] 5. Solve, if possible, the system of equations by Gauss Jordon method: -2b + 3c = 2 3a + 6b - 3c = -2 6a + 6b + 3c = 5. [5] 1 ...
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This note was uploaded on 02/11/2012 for the course MTH 2201 taught by Professor Kigaradze during the Spring '08 term at FIT.

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