Which of the following is correct L denotes Laplace transfor

Which of the following is correct? L denotes Laplace transform. L {1}= 1 L{delta(t + 2)) = e^-2s L^_1{1}= delta(t) L{u_2(t)(t - 2)^2} = e^_25L{(t - 2)^2} none of the above

Solution

Only the (c) is correct. The Laplace transform of the dirac delta function is 1, and therefore, the Laplace Inverse of 1 will be the Dirac Delta Function.