Find the differential equation satisfied by Y(s) = L{y(t)). where y(t) is the solution of the...

 

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Find the differential equation satisfied by Y(s) = L{y(t)). where y(t) is the solution of the initial value problem ( - 1) y" + 2ry-12y 0: y(0) = 0. y (0) = 1 O s?y" - 125Y' + (s +2) Y = 1 O sy" - 2sY" + (s + 3) Y = 1 O sy" + 3sY'- (s² +4) Y = -1 O sy" + 2sY' - (s? + 12) Y = -1 None of the shown answers Find the differential equation satisfied by Y(s) = L{y(t)). where y(t) is the solution of the initial value problem ( - 1) y" + 2ry-12y 0: y(0) = 0. y (0) = 1 O s?y" - 125Y' + (s +2) Y = 1 O sy" - 2sY" + (s + 3) Y = 1 O sy" + 3sY'- (s² +4) Y = -1 O sy" + 2sY' - (s? + 12) Y = -1 None of the shown answers