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Question: can someone help me solve the following problem step by...

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Can someone help me solve the following problem step by step?Problem 3. (10 points) Consider a first-order differential equation in the form di da)A a) + A The derivative can be approximated using the backward difference dt where T is the step size. a) (5 points) Using the approximation for the derivative in the differential equation, express ya (t) in terms of ya t -T) and xa(t) (b) (5 points) Convert the differential equation to a difference equation by defining discrete-time signa Show that the resulting difference equation corresponds to an exponential smoother. That is, the difference equation is of the form Determine the parameter α terms of A and T.

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