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Using Laplace Transform, solve the following differential equation dt2d2y(t)+4dtdy(t)+3y(t)=x(t) Given that x(t)=e4tu(t) and initial conditions y(0)=0 and y(0)=1. marks)

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Using Laplace Transform, solve the following differential equation dt2d2y(t)+4dtdy(t)+3y(t)=x(t) Given that x(t)=e4tu(t) and initial conditions y(0)=0 and y(0)=1. marks)

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