The displacement x it) of a certain oscillator can be modeled by the DEd2x dx j + 3 + 2x
Chapter 9, Problem 35(choose chapter or problem)
The displacement x it) of a certain oscillator can be modeled by the DEd2x dx j + 3 + 2x = 0. dt2 dt a. Find all solutions of this DE. b. Find the solution with initial values .r(0) = 1, ,x'(0) = 0. Graph the solution. c. Find the solution with initial values j c ( 0 ) = 1, *'(0) = 3. Graph the solution. d. Describe the qualitative difference of the solutions in parts (b) and parts (c), in terms of the motion ofthe oscillator. How many times will the oscillator go through the equilibrium state jc = 0 in each case?
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