## A treatise on differential equations |

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2ndly according admit application arbitrary constant assume becomes Cambridge Chap chapter cloth College complete primitive condition connected considered constitutes containing corresponding Crown 8vo curve deduce definite dependent derived determined differential coefficients direct Edition effected eliminating equa equal evident exact differential example exist expression final finite given equation gives Hence homogeneous homogeneous functions illustrate independent variable infinite integrating factor involving latter lead limit linear means method multiplying necessary observed obtained operation ordinary origin partial differential equation particular positive possible present problem proposed question rational reduced referred regarding relation represent respect result satisfied second member second order shew singular solution solve substituting supposed symbolical theorem theory tion transformation variables whence

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Page 485 - 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.