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GATE ECE 2026 | Question: 3

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The Laplace Transform of the signal $x(t)=u(t-2) *(t u(t))$ is given by which of the following expressions?

["*" represents convolution operator]

  1. $\dfrac{e^{-2 s}}{s^{2}(s-2)}$
  2. $\dfrac{e^{-2(s-2)}}{s^{3}}$
  3. $\dfrac{s e^{-2 s}}{(s-2)^{2}}$
  4. $\dfrac{e^{-2 s}}{s^{3}}$

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