ENGR 2422 Engineering Mathematics 2

Faculty of Engineering and Applied Science
2005 Winter


Laplace Transform Example (Second Shift Theorem)


Question

        Find the Laplace transform of

f(t) = (t^2 - 4t e^(-2t)) H(t-3)


Solution

L{f(t)}  =  e^(–3s) ( 2/s^3 + 6/s^2 + 9/s 
   – [4/(s+2)^2 + 12/(s+2)] e^(–6))


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      Created 2005 03 26 and most recently modified 2005 03 26 by Dr. G.H. George