9(e) = { 5. (Q5] 25 points (a) If the function f is defined by S 1,0 i. 06 pts Write g(t) in terms of the unit

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9 E 5 Q5 25 Points A If The Function F Is Defined By S 1 0 T 0 T I 06 Pts Write G T In Terms Of The Unit 1 (23.31 KiB) Viewed 29 times

9(e) = { 5. (Q5] 25 points (a) If the function f is defined by S 1,0<t< 0, t> i. 06 pts Write g(t) in terms of the unit step function U ii. 06 pts Find the Laplace Transform of g(t) iii. 08 pts Find the inverve Laplace Transform of 1-e-8 G(S) s(s2 + s + 1) (b) 05 pts Find the solution of the differential equation 5 y" + y + y = g(t), subject to y(0) = 0), 7(0) = 0 where g(t) = { 1,0t< 0, t