Find the convolution product 3e-t*e2t-
b) Find x(t)= x1(t) * x2(t) using the convolution integral. Write the result by region Show all regions and plots in your calculations. eros 3 x Answer: x(t)= bnien l vo s 1Swans ls AVSV meldoy C) Repeat part b) using Laplace. Write the result in terms of delayed unit steps and verify that it is an equivalent result pnwlle Answer: x(t)= ) 3et-1)u(t) 6(t-2) = c) 3e--1u(t)o()= d) 3e--1)u(t)-8(1) = Hint: Is not the same multiplication by a delayed...
QUESTION 8 Find the convolution product 2* cos(2t)=
(1 point) Find the Laplace transform F(s) = £{f(t)} of the function f(t) = e2t-12 h(t – 6), defined on the interval t > 0. F(s) = L {e2t–12h(t – 6)} = help (formulas)
Find Laplace Transform for the following functions: 5- f(t) = 3t^e2t 6- f(t) = e-+(2+* + 3t2 +10) 7- f(t) = e-4 cos(3) Find Laplace inverse: 5- F(s) 2 2+9 6- F(S) = (s+3)* 7- F($) = (s+1)(8-2) 10 8- F(s) = (3-3)(s+4) 9. F(S) s(s-1)(3-4) 35+1
Find the convolution product 2* cos(2t) =
a.) Find Laplace transform F(s) of (3-e2t + 5 e 6t) sin(7+)
Using the convolution property of Fourier Transform to find the following convolution: sinc (t) * sinc (4t): [Hint: sinc (t) ön rect(w/2)] sinc(t)sinc(2t) 8 TT 2 sinc(t) п sinc (2t) п sinc (4t) 4
(1 point) Let g(t) = e2t. a. Solve the initial value problem y – 2y = g(t), y(0) = 0, using the technique of integrating factors. (Do not use Laplace transforms.) y(t) = b. Use Laplace transforms to determine the transfer function (t) given the initial value problem $' – 20 = 8(t), $(0) = 0. $(t) = c. Evaluate the convolution integral (0 * g)(t) = Só "(t – w) g(w) dw, and compare the resulting function with the...
Find the convolution of the following functions. After integrating find the LaPlace transform of the convolution f(t)=t^2 g(t)=e^-t