Dtermien y(t) by Laplace Transform(steady state and at poisiton 0) for each case assume the constant as being multiplied by u(t) a) d^2y/dt^2 + 5 dy/dt +6y = 2u(t) b) d^2y/dt^2 + 2 dy/dt -3y = -40sin(t)

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Dtermien y(t) by Laplace Transform(steady state and at poisiton 0) for each case

assume the constant as being multiplied by u(t)

a) d^2y/dt^2 + 5 dy/dt +6y = 2u(t)

b) d^2y/dt^2 + 2 dy/dt -3y = -40sin(t)

Expert Solution
Step 1: Concept of laplace transform

The Laplace transform is a powerful mathematical technique used in engineering, physics, and applied mathematics to simplify the analysis of linear time-invariant systems, differential equations, and complex functions. It transforms a function of time (typically a time-domain function) into a function of a complex variable, making it easier to solve mathematical problems involving convolution, differentiation, integration, and linear systems. 

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