- #1

- 360

- 0

H(s) = 1/s

^{2}+ s + 1

x(t) = sin2(t-1)U(t-1)

what i have done so far is the following:

i know that Y(s) = H(s)X(s) and from this i can easily find y(t)

so i found X(s) since H(s) is already given...this may be wrong

X(s) = 2e

^{-s}/s

^{2}+ 4

then i found Y(s)

Y(s) = 2e

^{-s}/(s

^{2}+ s + 1)(s

^{2}+ 4)

then i know that y(t) should be 2y(t-1) because of the e

^{-s}time shifting

but i am stuck here... is there a better way to solve this problem using Convolution integral or any other way? i know how to do both the partial fractions method and convolution integral but i keep getting stuck. i think i have set up the problem wrong, perhaps in the X(s) solution