4. (Q4] 20 points (a) If the function f is defined by g(t) t. 0

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4 Q4 20 Points A If The Function F Is Defined By G T T 0 T 2 7 2 2 I 03 Pts Show That The Function F Can Be 1 (21.75 KiB) Viewed 27 times

4. (Q4] 20 points (a) If the function f is defined by g(t) t. 0<t</2 7/2 + /2 i. 03 pts Show that the function f can be written as g(t) = -(t = */2)U(t – */2) where U is the unit step function ii. 05 pts Find the Laplace Transform of g(1) iii. 05 pts Find the inverse Laplace Transform of 1 G(8) = (8-2)2 + 1 (b) 07 pts Using Laplace Transform find the solution of the differential equation V/" + 5y = 9(6), y(0) = 4, 7(0) = 0 where 1,0<</2 g(t) + 7/2 ) = { 1/2