Question: Consider the cauchy problem for the second-order linear equation y-9y=2xe^(3x), y(0)=-3, Y'(0)=-1/18 a) find the general solution of the corresponding homogenous equation b) find the

Consider the cauchy problem for the second-order linear equation y"-9y=2xe^(3x), y(0)=-3, Y'(0)=-1/18 a) find the general solution of the corresponding homogenous equation b) find the particular solution of the non-homogenous equation using the method of undetermined coefficients

c) find the solution of the cauchy problem

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