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(20 points) This problem is related to Problem 7.23-24 in the text. Given the differential equation v + 8v' + 4v = ([cos(3 * t)]3)u(t)

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(20 points) This problem is related to Problem 7.23-24 in the text. Given the differential equation v" + 8v' + 4v = ([cos(3 * t)]3)u(t) Write the matrix equation for using Euler's method to compute v(t + h) from information of the function at time t, i.e., you know v(t) and initial conditions. It is assumed you will use two auxiliary functions, v1 (t) and v2 (t). vi (t + h) v1 (t ) = +h v2 ( t + h) 12 (t) + h For h = 0.1, compute the solution for t = 0, 0.1, 0.2, 0.3, when the initial conditions are v(0) = 2 and v' (0) = 3. v(0) = v(0.1) = v(0.2) = v(0.3) =

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