A single input single output system with $$y$$ as output and $$u$$ as input, is described by $$${{{d^2}y} \over {d{t^2}}} + 2{{dy} \over {dt}} + 10y = 5{{d\,u} \over {dt}} - 3\,u$$$ For the above system find an input $$u(t),$$ with zero initial condition, that produces the same output as with no input and with the initial conditions. $${{d\,y\left( {{0^ - }} \right)} \over {dt}} = - 4,\,\,\,y\left( {{0^ - }} \right) = 1$$

GATE 2002 Electrical Engineering PYQ — Signals and Systems

GATE 20022002PYQOTHERanswer pendingexplanation soonmedium

Signals and Systems · Laplace (EE)

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Drill mode: laplace transform · 39/51

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Recurring concept

Laplace (EE) has appeared in GATE Electrical Engineering 35 times across 19 years (2015, 2017, 2022, 2023, 2024, ...).