MATH 310 Final: MATH 310 Final Exam 2006

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Special instructions: time: 3 hours, no notes, textbooks or calculators are permitted. 10: before you do anything else, read through all the questions carefully, there is a list of useful formulas at the end of this exam (see page 15), answer all questions in the space provided. For each of the questions in this section, circle the letter t or f , indicating whether you think the answer is true or false. Each question is worth 1 mark, and marks are given only for correct answers. Suppose that y1(t) and y2(t) are two solutions to the equation y + p(t)y + q(t)y = g(t). Then y(t) = 2y1(t) y2(t) is also a solution. There are in nitely many solutions to the di erential equation y y = 0 of the form y(x) = aex, where a is a constant. The function y(x) = 1 is the only solution to the ivp.