Question: Determine a suitable form for a particular solution z = z(x) of the given equations 1) y + 2y' = 2x + x^2e^3x + sin

Determine a suitable form for a particular solution z = z(x) of the given equations

1) y" + 2y' = 2x + x^2e^3x + sin 2x.

2) y" 5y' + 6y = 2e^2x cos x 3xe^3x + 5.

3) y" + 5y' + 6y = 2e^2x cos x 3xe^3x + 5e^2x.

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