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anonymous
 5 years ago
Find inverse Laplace transform by using convolution. Please step by step in integral part: 1/s^2+5s+6
anonymous
 5 years ago
Find inverse Laplace transform by using convolution. Please step by step in integral part: 1/s^2+5s+6

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0first factor s^2+5s+6 and post what you got

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I/(s+2)(s+3) so inverse laplace of those as F(s)=1/(s+2) and g(s)=1/s+3 and taking inverse we have F(s)=e^(2t) and G(s)=e^(3t)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if you are taking inverse, it would be in time domain. if F(s) = 1/(s+2), then F(s) cannot also be equal to e^(2t)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if H(s) = 1/s^2+5s+6 and F(s)=1/(s+2) and G(s)=1/(s+3), then H(s) = F(s)G(s)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0according to convolution, product of two functions in the angular frequency domain can be represented as convolution of their corresponding time domain functions.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so, h(t) = f(t)*g(t) = \[\int\limits_{0}^{t}f(\tau)g(t\tau) d \tau\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if F(s) = 1/(s+2), then inverse laplace transform of it is f(t) = e^(2t)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you have all the information you need to solve this.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so final answer after integrating would be 3^(2t)e^(3t)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I ment to say e^(2t)e^3t

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://www.youtube.com/watch?v=TJgBEI3drUc&feature=BFa&list=SP96AE8D9C68FEB902&index=44

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I dont know what the final answer is. I didn't actually try to solve it. I showed you the method. I trust you can take it from there

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you just checked inm solution and it is

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[H(s)=1/s(s^2+9)=A/s+Bs+C/(s^2+9) by \partial fraction I get (1/9s) (s/9(s^2+9)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for you to use convolution, you have to express your H(s) as a product of two or more functions in s domain

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you can't express them as a summation.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[so \Im \left with 1/9 L^1 (1/s) 1/9 L^1(s/s^2+9)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so F(s)=1/9 and G(s)=1/9cos3t

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{0}^{t}1/91/9\cos3rhod \rho= ?\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I got answer 1/3sin3t and book answer is (1cos3t)/9

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i dont know what you are trying to ask. I cannot help you with actually finding the values to your problems. I can only show you how. Go through that video. It explains it well with an example similar to your problem
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