GATE ECE - GATE 2017-2018 Questions and Answers

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A system described by a linear, constant coefficient, ordinary, first order differential equation has an exact solution given by y(t) for t > 0 , when the forcing function is x(t) and the initial condition is y(0) . If one wishes to modify the system so that the solution becomes -2y(t) for t > 0 , we need to

change the initial condition to -y(0) and the forcing function to 2x(t)

change the initial condition to 2y(0) and the forcing function to -x(t)

change the initial condition to j √2 y(0) and the forcing function to j √2x(t )

change the initial condition to -2y(0) and the forcing function to -2x(t)

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