Substituting yp into the forced equation: the homogeneous brackets vanish (Q1665)

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Substituting yp into the forced equation: the homogeneous brackets vanish
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    Statements

    y_{p}''+p\\,y_{p}'+q\\,y_{p}=u_{1}\\bigl[y_{1}''+p\\,y_{1}'+q\\,y_{1}\\bigr]+u_{2}\\bigl[y_{2}''+p\\,y_{2}'+q\\,y_{2}\\bigr]+u_{1}'y_{1}'+u_{2}'y_{2}'=u_{1}'y_{1}'+u_{2}'y_{2}'
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