Question 1: Solve the following differential equations using Laplace transform method. dy a) +7y=5 cos 2t Assume zero initial conditions. dt d²y dy --2. a) -+y=8(t-2) where y(0)=1 and y'(0)=1. dt² dt d²y dy b) -+7y=u(t-2) where y(0)=0 and y'(0)=0. dt² dt --8-

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Q: Example 8.28. Apply Simpson's rule to evaluate the integral p26_p4# dxdy 1=5₂8 5²4 I xy

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