APM 542 , Winter 2006 Solution of the Final Exam , April 24
نویسنده
چکیده
You have 3 hours and you have to answer 12 questions. Answer 9 out of questions 1–12, and you have to answer questions 13 – 15. Mark clearly which three questions are not to be graded. Each one of the first 9 questions is worth 18 points and the last three 12 points each (total of 200). You may use two sheets of paper freely written on four sides. Please attach them to the exam. Show full logic for full credit. 1. Find a general solution of the the initial value problem, and describe the type and stability of the critical point, y′ 1 = 2y1 + 4y2, y ′ 2 = 3y1 + y2. A: We write the system as
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