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Algebra appear applied arbitrary constants assume becomes Cambridge Chap Chapter cloth College combination complete primitive condition connected consists construct contain corresponding Crown 8vo deduce depend derived determine dF dF differential coefficients dp dp dp dx dp dy dx dp dx dx dx dy dx₁ dy dx Edition EDUCATIONAL ELEMENTARY eliminate equa Examination Examples expression factor function give given Hence History important independent infinite integral intended involving known lead Mathematical method Notes obtain ordinary original P₁ partial differential equations particular possible present problem Professor proposition question reduced reference relation represent respect result rules satisfied Schools singular solution student substituting suppose theorem theory tion transformation TREATISE u₁ values vanish variables volume whence
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