MATH 325 Midterm: MATH325 Winter 2012 Exam
31 Jan 2019
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Instructions: answer all questions in the exam booklets provided. Start each question on a new page: all questions carry equal weight, this is a closed book exam. No crib sheets, textbooks or any other aids are permitted: calculators are permitted, use of a regular dictionary is not permitted, use of a translation dictionary is permitted. This exam comprises the cover page, 2 pages of 6 questions and a table of laplace transforms. 1. ) (a) find (in explicit form) the solution y(x) of the initial value problem yy = 1 2x, y(1) = 2. What is the interval of validity of the solution? (b) find the general solution y(x) of the fourth order equation y(4) y = 2ex. Find and state a0 and a1 and the recurrence relation used to de ne general an. Hence show that a2n = 0 for all n > 1.
