Write down the form of the general solution y y c y p of the given differential equation in the two cases and Do not determine the coefficients in y p (a) y ' ' 2 y sin x (b) y ' ' 2 y e x

Question: Write down the form of the general solution y = y c + y p of the given differential equation in the two cases

Write down the form of the general solution y = y_c + y_p of the given differential equation in the two cases ω ≠ α and ω = α. Do not determine the coefficients in y_p.

(a) y'' + ω²y = sin αx

(b) y'' – ω²y = e^αx

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