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 dx dx 9- dt df +27x27x=0 dt (m3) = 0

and hence find the general solutions of the equations

(a) (b) (c) dx dt dx dt dx dt -98x dr dx dt +27x - 27x = cost  sint + t dt +27x - 27x = e dt dx 9- +27- dt dx

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