2. Solve the following problems: (a) (5 points) Write the following function in terms of unit step function (2 if 0

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2 Solve The Following Problems A 5 Points Write The Following Function In Terms Of Unit Step Function 2 If 0 T 3 1 (43.06 KiB) Viewed 34 times

2. Solve the following problems: (a) (5 points) Write the following function in terms of unit step function (2 if 0<t<3 f(t)=-7 if 3<t<8 if 8 ≤t =17 2 [u(+]] -2 w(+-3) - Ju(+-3) + 74(+-x) + 4 u(+-8). flos = 2 - Qult-3) + 10u(t-8) (b) (15 points) Use the Laplace transform to solve y" - 5y +6y=f(t) y(0) = 0, y'(0) = 0, where f(t) is given in part (a). - $ - 3² YG) - 3/2(0) + (²60) - 5 + ((0) - cf (0) + 6 (8) = 2-9m (+-3) + 10a (4-8) $2Y($) - 5 = Y($) + Y() = Y₁ ) [ 5² - 5 + 6 ] = 2-au (+-3) + 10 u (t−8)