MATH 0290 Midterm: Math 0290 Exam 2 (0290) 2014 Fall -176
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Show all your work (no work = no credit). For each problem (except the bonus) you will get 40% of the maximum points if you do not write a solution. If you write a solution then your score will vary from 0 to maximum: (15 points) Find the inverse laplace transform of the function f (s) = Solve the initial-value problem y y = g(t), y(0) = 0, where g(t) = 0, for 0 t < 1 for 1 t < 2 for t 2. Create a piecewise de nition for your solution that doesn"t use the heaviside function. You may use results from the previous problem. Page 2: (15 points) using the unit impulse response function and convolution nd the solution to the initial-value problem y + 9y = g(t), y(0) = 1, y (0) = 0, where g(t) is a piecewise continuous function.
