APPM 2360 Midterm: appm2360spring2016exam1

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31 Jan 2019
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On the front of your bluebook write: (1) your name, (2) your student id number, (3) recitation section, (4) your instructor"s name, and (5) a grading table. Books, class notes, cell phones, and calculators are not permitted. A one-page one-sided crib sheet is allowed: (25 points, full answer problem): partial credit given, please show all work, (10 points) using separation of variables, solve the following equation to nd y(t): dy dt. = t y using the method of variation of parameters (i. e. , the euler-lagrange method): (5 points) solve the ivp with the above differential equation and the initial condition y(0) = 0. Turn over: (40 points, short answer problem): for the questions in this problem, no motivation is required. If you do submit work, then box your answer, and know that your work will not be graded: (10 points) consider the initial value problem y = y(1 y)(3 y), y(0) = 2.