MATH 308 Midterm: MATH 308 TAMU Exam2 15c
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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: solve the initial value problem y + 3y . 4y = 16t, y(0) = 1, y (0) = 0, using the method of your choice: calculate the inverse laplace transfrom of. 3s + 7 (s + 3)(s + 2)2 : solve the initial value problem y + 5y + 6y = e 2t, y(0) = 0, y (0) = 3. Hint: the previous question"s laplace transform should help: find the general solution to y + 4y = 1 sin2 t: a mass m = 2kg is connected to a spring with sti ness k = 10n/m and a viscous damper with = 0. 25n s/m. The oscillator is driven by the force f (t) = 3 cos(2t). Find the amplitude of the steady state response.
