APPM 2360 Midterm: appm2360fall2016exam3
Document Summary
On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your recitation section number and (4) a grading table. Text books, class notes, cell phones and calculators are not permitted. A one page (letter sized 1 side only) crib sheet is allowed. Problem 1: (30 points; 6 points each) true/false questions. Answer true if the statement is always true. Then the amplitude of x is bounded for all time. (c) y1(t) = e 2t + e 3t and y2(t) = e 2t e 3t are linearly independent solutions to y + 5y + If y1(t) and y2(t) are two linearly independent solutions to equation 1, then every possible solution to equation 1 may be written as y(t) = c1y1(t) + c2y2(t) for an appropriate choice of the constants c1 and c2. Equation 2 when (i) f (t) = f1(t) = et + 3 sin(t), (ii) f (t) = f2(t) = 7e 2t.
