Question: i stuck in this question solve this question quickly Consider the inhomogeneous differential equation + + 7+ + 12x=e + cos4t - 2 sin 4t

i stuck in this question solve this question quickly

Consider the inhomogeneous differential equation + + 7+ + 12x=e + cos4t - 2 sin 4t and the associated homogeneous differential equation * + 7x+ 12x =0 a Formulate the characteristic equation and solve it. b) Determine a particular solution of the inhomogeneous differential equation. C) Hence write down an expression for the general solution of the inhomogeneous differential equation. d) Determine the solution of the inhomogeneous differential equation that satisfies x (0) = 1, &(0) = 0

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