Show that the characteristic equation of the differential equation and hence find the general solutions of the

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Show that the characteristic equation of the differential equation

is d+x dt dx 3- dx +9-2x = 0 dt dt dt dx 5- (m + m - 2)(m - 4m + 1) = 0

and hence find the general solutions of the equations

(a) (b) (c) dx_3dx dt+ dt 3 d4x dt4 dax dt4 dx dt 3- X dt3 5.dx dt +9dx dt dx dt -2x = cos 2t dx 5- +9-2x =

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