## A Treatise on Differential Equations, Volume 1 |

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2ndly admit algebraic arbitrary constant arbitrary function becomes Cambridge Chap Chapter College complete primitive condition corresponding Crown 8vo deduce degree dependent derived determined differential coefficients dx dx dx dy dy dx Edition eliminating envelope species equa equal equation Mdx exact differential example expressed Extra fcap finite given equation gives Hence homogeneous equation homogeneous functions i8mo independent variable infinite integrating factor intrinsic equation l8mo linear differential equation linear equation MACMILLAN'S EDUCATIONAL CATALOGUE method multiplying obtained ordinary differential equations partial differential equation particular integral primitive equation problem Professor Prop proposed equation reduced relation represent respect result satisfied second member second order shew shewn singular solution solve substituting suppose symbolical form tangent Taylor's theorem theorem theory tion whence

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