= Work Problem 1 (20pts) a) Find the Laplace Transform of the function fi) = 283(t). b) Solve the following initial valu

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Work Problem 1 20pts A Find The Laplace Transform Of The Function Fi 283 T B Solve The Following Initial Valu 1 (40.3 KiB) Viewed 42 times

= Work Problem 1 (20pts) a) Find the Laplace Transform of the function fi) = 283(t). b) Solve the following initial value problem y" + 16y = 283(t), y(0) = 2, y(0) = 1. Work Problem 2 (20pts) a) Express the following function using unitary step functions and find it's Laplace Transform f(t) = {3224) 0 b) Solve the following initial value problem y" - 2y – 3y = f(t), y(0) = 0, y'(0) = 1. Work Problem 3 (20pts) a) Find the Laplace Transform of the function () = 3e41–2) u2(1) + 11. b) Solve the following initial value problem y + 5y = f(t), y(0) = 1.