(1 point) Consider the initial value problem for 0...

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(1 point) Consider the initial value problem for 0 <t < o0: ay" + by' + cy = f(t), y(0) = 0, y (0) = 0, where a, b, c are constants and f(t) is a known function. We can view this problem as defining a linear system, where f(t) is a known input and the corresponding solution y(t) is the output. Laplace transforms of the input and output functions satisfy the multiplicative relation Y(s) = 0(s)F(s), where O(s) is the system transfer function. as? + bs + c Suppose an input f(t) = t, when applied to the linear system above, produces the output y(t) = 3(e * - 1) + t(e* + 2), t> 0. a. Find Y(s) = L {y(t)} and F(s) = L{f(t)}. %3D Y(s) = F(s) = b. Use your answer to part (a) to find the system transfer function, O(s). e(s) = help (formulas) (1 point) Consider the initial value problem for 0 <t < o0: ay" + by' + cy = f(t), y(0) = 0, y (0) = 0, where a, b, c are constants and f(t) is a known function. We can view this problem as defining a linear system, where f(t) is a known input and the corresponding solution y(t) is the output. Laplace transforms of the input and output functions satisfy the multiplicative relation Y(s) = 0(s)F(s), where O(s) is the system transfer function. as? + bs + c Suppose an input f(t) = t, when applied to the linear system above, produces the output y(t) = 3(e * - 1) + t(e* + 2), t> 0. a. Find Y(s) = L {y(t)} and F(s) = L{f(t)}. %3D Y(s) = F(s) = b. Use your answer to part (a) to find the system transfer function, O(s). e(s) = help (formulas)

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Ands Given that 4nitial value pzoblem aylt bytcy ft 3D where ... View the full answer