Winter 2010

Winter 2010 - McGill lJniversity Final Examination Math 263...

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McGill lJniversity Final Examination Math 263 Differential Equations and Linear Algebra 2l April,2OlO 2prn - b prrt Exarniner: P. Bartello - Associate Examiner: J. J. Xu J.J ,w Instructions This exam consists of 8 questions. Answer all of them. Calculators are not permitted. Text and formula sheets are not allowed. Please answer in exam booklets. This exam comprises the cover? 2 pages of questions and one table of Laplace transforms.
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,] ", | /jir't'/ - ^l ( ',' ' t' It',) 1ry ' ,.-\ i7 .r { i i'- \ 1 t\i \- -i j .-'' i, u | -..1 il !i .,1 -i ( .'\ \ -{ L Differential Equations & Linear Algebra MATH 263 Final Exam 1. (10 marks) Find all solutions of the ordinary differential equa- tion (g')a : (An)' , ,, r u,\tt r 2. (10 marks) Solve the following ODE over the range 0 < t < r 12 , lcost 1 -r a *r"inta:2"orta (10 marks) Find the solution of the equation a" - 6a' +ga -r(t +2{ subject to the initial conditions y(0) : 1 and gr'(0) : Q. i
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This note was uploaded on 01/22/2012 for the course MATH 263 taught by Professor Sidneytrudeau during the Winter '09 term at McGill.

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Winter 2010 - McGill lJniversity Final Examination Math 263...

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