6.28 Calculate the inverse Laplace transforms of the following functions analytically by means of the convolution theorem and verify the results by MATLAB (i) Y(s) = 2ω-s/(s2 + ω2)2. (i) Ys) 1s3a s. 6.28 Calculate the inverse Laplace transforms of the following functions analytically by means of the convolution theorem and verify the results by MATLAB (i) Y(s) = 2ω-s/(s2 + ω2)2. (i) Ys) 1s3a s.
Use the convolution theorem to find the inverse Laplace transform of the given function. 2 s(s? +1) 2 3 (s2 +1)
3. Find the inverse Laplace transforms: s+9 1 132 +9 (a) C-1 (s + 2)(s² + 16)
Use the convolution theorem to find the inverse Laplace transform of the given function. 4 s' (s2 + 4) **** 14.30-0 $(2+4)
1 +s Find the inverse Laplace transforms of the following: a. F(s) = a (s+2)2 b. F(s) = -25- Hint: Complete the square in denominator 2s -1 s2-2s +10
5. Find the inverse laplace of the given laplace equations using convolution theorem b. a. زرا ) s? (s? +9) (s +1)(s? +1)
Compute the inverse Laplace transform of F(s) using the convolution theo- rem. You may leave your answer in terms of an integral. S F(S) = (s + 3)5(s2 + 4)
qa Use appropicece algebra and known Laplace transforms to find inverse la place transforms f {f(s)} 3 tlf 32+9
OF -1 One property of Laplace transforms can be expressed in terms of the inverse Laplace transform as I (1= - t) ft), wheref="{F). Use this equation to compute -'F) ds F(s) - arctan 18 5 Click here to view the table of Laplace transforms Click here to view the table of properties of Laplace transforms '9-0 Enter your answer in the answer box • Previous ch
Use the convolution theorem to find the inverse Laplace transform of the given function. 8 $ (s2 + 16) ** 6**}-0