Variation of parameters: ansatz and determining conditions (Q1647)

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Variation of parameters: ansatz and determining conditions
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    y_{p}=u_{1}(x)\\,y_{1}+u_{2}(x)\\,y_{2},\\qquad u_{1}'y_{1}+u_{2}'y_{2}=0,\\qquad u_{1}'y_{1}'+u_{2}'y_{2}'=g(x)
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