Question: q5 Given the DE: (D2 + 4)2Dy = g(x) (a) Determine the homogeneous solution, yn (b) Determine the form of the particular solution (do not

Given the DE: (D2 + 4)2Dy = g(x) (a) Determine the homogeneous solution, yn (b) Determine the form of the particular solution (do not solve for the coefficients), yp, given: g(x) = 16 sin 2x + 3e-x (c) Determine the form of the particular solution (do not solve for the coefficients), Up, given: g(x) = 16 + e-2x + ex cos 2x (d) Determine the form of the particular solution (do not solve for the coefficients), Up, given: g(x) = 3x3 + 2x sin 2x

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