Question: 20 pts O Question 5 D Question 7 Solve the tollowing Initial Value Problem: V+ dy - sint - lA(t - 2)ain(t - 2x),

D Question 5 D Question 7 20 pts Find the Laplace transform. ?{/0) of the following function: Solve the following Initial Val

20 pts O Question 5 D Question 7 Solve the tollowing Initial Value Problem: V+ dy - sint - lA(t - 2)ain(t - 2x), y(0)- 0, y(0) =0 Feete Lalacetrantorm. Lf()). of the following function: ( + 5) +e" (cos(34) + sin(St)) w--Jant - in(21) - (t - 2w nim(t - 2r) - tsin(2(t - 2r) wn-jnt-in2) - t - 2r)} sin(t - 2r) - sin(2(1 - 21)} N the gvema icoect Neof the gn arersis comect a) - st - 20)sin(t - 2) - sin(2(1 2)| w--j in2)- ut- 2r)in(t - 2) - ain(2(t- 2)) nt- jan(r) - -24)eintt - 2)- in(2 - 2n)) 20 pts Question 6 Find the iereLaplace transform (P(A)). of the following function 45 -20 -- 3-)- a(3 (- 2)) + ) un-a -2)2- sin(t-2) - ) w-a(- c3-2)- sin(3(- 2)) + ) - c-2)- sla(3-2)) +-) w- -- sin3-2) e)

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