Task 5 Given the differential equation y'(t) + 8y(t) = 50e^{-5t}cos(4t). a) Use a guess method to determine a particular solution to the differential equation. Task 6 For any real number a, the complex number is given z = (a - 11) + (a + 3)i. a) Determine for a = 4 modulus and argument for the number z. b) Determine for which values of the number a that $|z| > 10.$
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We will assume a particular solution of the form y_p = A*e^r + B*cos(4r) + C*sin(4r), where A, B, and C are constants to be determined. Show more…
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