APPM 2360 Midterm: appm2360spring2013exam3
Document Summary
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. Find the general solution for x(t) and say whether it"s underdamped, critically damped, or overdamped. (d) [7 pts] you drive up to your friend"s cabin on a washboard dirt road. The corrugated road drives your mass-spring system so. Problem 2: (20 points) (a) [10 pts] using the method of undetermined coef cients, write down the general form of the particular solution yp(t) to y + y . 6y = f (t) for the following forcing functions: (i) f (t) = sin 2t + t2 (ii) f (t) = te 3t. You do not need to solve for the arbitrary coef cients. (b) [10 pts] find the general solution of y + y . 6y = 3e2t using the method of undetermined coef cients.
