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

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Work Problem 1 20pts A Find The Laplace Transform Of The Function F T 283 T B Solve The Following Initial Val 1 (40.3 KiB) Viewed 93 times

= Work Problem 1 (20pts) a) Find the Laplace Transform of the function f(t) = 283(t). b) Solve the following initial value problem y" + 16y = 283(t), y(0) = 2, 7(0) = 1. Work Problem 2 (20pts) a) Express the following function using unitary step functions and find it's Laplace Transform 3e-, 124 ) 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 () = 340-2 u2(t) + 11. b) Solve the following initial value problem y + 5y = f(t), y(0) = 1. f(t) = { 0, 1<4