find the solution of the given initial value problem, and plot its graph. How does the solution behave as t → ∞? y'''' + y = 0 ; y(0) = 0 , y'(0) = 0 , y''(0) = -1 , y'''(0) = 0 The solution to this problem is y = (1/2)e^(-t/√2)sin(t/√2)-(1/2)e^(t/√2)sin(t/√2)

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