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13 Nov 2019
a) Find the Laplace transform of the following ODE and solve for Y(s): 'J + 16y = cos 41, y'(0) = 2, y(0) = 1 dt b) Find f(t), i.e. inverse Laplace transform of the following function in term of integration (no need to evaluation the integration): 4s +11 s(4s2 +16s +17) F(s) Bonus c) Based on poles and cases for the partial fraction expansion for Y(s) in a), identify the possible time functions in y(t).
a) Find the Laplace transform of the following ODE and solve for Y(s): 'J + 16y = cos 41, y'(0) = 2, y(0) = 1 dt b) Find f(t), i.e. inverse Laplace transform of the following function in term of integration (no need to evaluation the integration): 4s +11 s(4s2 +16s +17) F(s) Bonus c) Based on poles and cases for the partial fraction expansion for Y(s) in a), identify the possible time functions in y(t).
Collen VonLv2
19 May 2019