## A treatise on differential equations |

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2ndly admit algebraic arbitrary constant arbitrary function assumes the form axis becomes Cambridge Chap cloth complete primitive condition corresponding Crown 8vo deduce degree derived determined differential coefficients dv dv dx dx dx dy dy dx dz dx eliminating envelope species equa equal equation Mdx exact differential equation example expression Fcap finite given equation gives Hence homogeneous equations homogeneous functions independent variable infinite integrating factor intrinsic equation inverse linear differential equation linear equation method multiplying obtained ordinary differential equations partial differential equation particular integral primitive equation problem Prop proposed equation reduced relation represent respect result satisfied Second Edition second member second order shew shewn singular solution solve substituting supposed symbolical form Taylor's theorem theorem tion Trinity College whence