3. There are two questions in the problem. (a) Find the general solution of the homogeneous linear equation y(4) +y" = 0. (b) Find a suitable form for a particular solution Y (t) of the linear equation y(4)+y" =1+3 cost if the method of undetermined coefficients is used to solve the equation. Do not evaluate the coefficients.

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A: Step 1: Step 2: Step 3: Step 4: