Write down the form of the general solution y = yc + yp of
Chapter , Problem 31RP(choose chapter or problem)
Write down the form of the general solution \(y=y_{c}+y_{p}\) of the given differential equation in the two cases \(\omega \neq \alpha\) and \(\omega=\alpha\). Do not determine the coefficients
\(\text { i } y_{p}\).
(a) \(y^{\prime \prime}+\omega^{2} y=\sin \alpha x\)
(b) \(y^{\prime \prime}-\omega^{2} y=e^{\alpha x}\)
Text Transcription:
y=y_c+y_p
omega\neq\alpha
omega=alpha
textiy_p
y^prime\prime+\omega^2y=sin\alphax
y^prime\prime-omega^2y=e^alphax
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