MATH 308 Midterm: MATH 308 TAMU Exam2 16c
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On my honor, as an aggie, i have neither given nor received unauthorized aid on this work. In all questions no analytical work = no points: calculate the inverse laplace transfrom of. 3s2 + 28s + 58 (s + 3)3: solve the initial value problem y + 6y + 9y = e 3t, y(0) = 3, y (0) = 1. Hint: the previous question"s laplace transform should help: find the general solution y + 4y = t sin(2t). Hint: if you use variation of parameters (which works well for this problem), the following trig identities will be helpful: 2 sin2 = 1 cos 2 and 2 sin cos = sin 2 . 4 + 13 + 9 = 0, where is the opening angle (in radians). If the door is opened to angle 1 and given the angular velocity of 3 towards the closed position, nd the time at which it slams into the frame.
