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2ndly admit algebraic arbitrary constant arbitrary function assumes the form becomes Cambridge Chap chapter cloth College complete primitive condition corresponding Crown 8vo curve deduce degree dependent derived determined differential coefficients dx dx dx dy dx dz dy dx dz dx eliminating envelope species equa equal equation Mdx exact differential equation example expression Fcap given equation gives Hence homogeneous equations homogeneous functions independent variable infinite integrating factor intrinsic equation inverse involving an arbitrary linear differential equation linear equation method multiplying obtained ordinary differential equations partial differential equation particular integral primitive equation primitive involving 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 whence
Página 489 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
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