MATH341 Midterm: MATH341-07S-exam2

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31 Jan 2019
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Please clearly erase or cross out irrelevant work; otherwise it will be part of the graded material. You must justify answers to receive full credit. You may not use calculators or notes. mx + cx + kx = f0 cos t has solution x = c1 cos 0t + c2 sin 0t + c cos( t ), where tan = 2y + y = 0, y(0) = 1, y (0) = 1, y (0) = 2: (20 points) write down the form for a particular solution yp, but do not try to nd the. Ex cos 3x. (this has the same. Explain. (b) suppose the system is subjected to a driving force f0 cos t. Find the practical resonant frequency , or show that none exists: (10 points) write xy di erential equations.