6. (7 pts.) Find the correct form of the Laplace transform Y(s) of the solution y(t) of the initial value problem: y” — 4y = sin 5t, y(0) = 1, y’(0) = 0. As+B+Cs+D 52+4 32+25 (a) m) = A B Cs+D (b)Y(3)_ s—2+s+2+ s2+25 As + B 036—25 (C) Y(S) _ 32—4 + s2+25 As+B+Cs+D 52—5 32+4 (e) none of the above
6. (7 pts.) Find the correct form of the Laplace transform Y(s) of the solution y(t) of the initial value
problem: y” — 4y = sin 5t, y(0) = 1, y’(0) = 0. As+B+Cs+D
52+4 32+25 (a) m) = A B Cs+D
(b)Y(3)_ s—2+s+2+ s2+25 As + B 036—25
(C) Y(S) _ 32—4 + s2+25 As+B+Cs+D
52—5 32+4 (e) none of the above
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