Question: These equations define a certain particle's motion: dx/dt = x-2y x(0)= 2 dy/dt = 5x-y y(0)= -1 a. Using the information, find x(t) and y(t).Hint:

These equations define a certain particle's motion: dx/dt = x-2y x(0)= 2 dy/dt = 5x-y y(0)= -1 a. Using the information, find x(t) and y(t).Hint: (Use Laplace Transform) b. Find the amplitudes of periods of x(t) and y(t). c. Which graph best represents the particle's motion

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