In Exercises 27–34,(a)compute the Laplace transform of both sides of the differential equation,(b)substitute in the initial conditions and simplify to obtain the Laplace transform ofthe solution, and(c)find the solution by taking the inverse Laplace transform. d²y27. +4y=8, y(0) = 11,dt2y'(0) = 5

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Given the differential equation,dt2d2y​+4y=8,y(0)=11,y′(0)=5 (a) Solving for the Laplace transform…

d²y 27. +4y=8, y(0) = 11, dt2 y'(0) = 5