## A Treatise on Differential Equations, Volume 1 |

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admit application arbitrary constant assume becomes Cambridge Chap Chapter College complete primitive condition connected considered containing corresponding Crown 8vo curve deduce definite dependent derived determined differential coefficients dx dy dx² dy dx dy dy Edition effected eliminating equa equal exact differential example exist expressed factor fcap final given equation gives Hence homogeneous homogeneous functions Illustrations independent infinite integral integrating factor introduced involving lead linear means method multiplying Notes obtained operation origin partial differential equation particular positive present problem Professor proposed question reduced referred regarding relation represent respect result satisfied School second member second order Shew singular solution substituting suppose symbolical theorem theory tion transformation variables whence

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