Solved: (a) By the method of variation of parameters, show that the solution of the
Chapter 6, Problem 25(choose chapter or problem)
(a) By the method of variation of parameters, show that the solution of the initial value problem y + 2y + 2y = f(t); y(0) = 0, y (0) = 0 is y = t 0 e(t)f()sin(t ) d. (b) Show that if f(t) = (t ), then the solution of part (a) reduces to y = u (t)e(t) sin(t ). (c) Use a Laplace transform to solve the given initial value problem with f(t) = (t ) and confirm that the solution agrees with the result of part (b).
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