A Treatise on Differential Equations, Volume 1 |
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Page v
... present state of knowledge on the subject of Differential Equations , as was consistent with the idea of a work intended , primarily , for elementary instruc- tion . It was my object , first of all , to meet the wants of those who had ...
... present state of knowledge on the subject of Differential Equations , as was consistent with the idea of a work intended , primarily , for elementary instruc- tion . It was my object , first of all , to meet the wants of those who had ...
Page vi
... present each new form of truth to the mind , precisely at that stage at which the mind is most fitted to receive it , or even , like that of the discoverer , to go forth to meet it . Of the many forms of false culture , a pre- mature ...
... present each new form of truth to the mind , precisely at that stage at which the mind is most fitted to receive it , or even , like that of the discoverer , to go forth to meet it . Of the many forms of false culture , a pre- mature ...
Page vii
... present the solution of the proposed equation as dependent upon the performance of certain inverse operations . I have endeavoured to shew in Chap . XVI . , that the expressions by which these inverse operations are sym- bolized are in ...
... present the solution of the proposed equation as dependent upon the performance of certain inverse operations . I have endeavoured to shew in Chap . XVI . , that the expressions by which these inverse operations are sym- bolized are in ...
Page x
... present year . After careful consideration it seemed to me that the best plan to pursue was to reprint the original volume , and to collect into a supplementary volume the additional matter which had been prepared for enlarging the work ...
... present year . After careful consideration it seemed to me that the best plan to pursue was to reprint the original volume , and to collect into a supplementary volume the additional matter which had been prepared for enlarging the work ...
Page xiii
... present , 211 . dry dan dxn 212 . dry ' dn - 2y dxn dxn- 214. Homogeneous equa- tions , 215. Exact equations , 222. Miscellaneous methods and examples , 226. Singular integrals , 229. Exercises , 234 . CHAPTER XI . GEOMETRICAL ...
... present , 211 . dry dan dxn 212 . dry ' dn - 2y dxn dxn- 214. Homogeneous equa- tions , 215. Exact equations , 222. Miscellaneous methods and examples , 226. Singular integrals , 229. Exercises , 234 . CHAPTER XI . GEOMETRICAL ...
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Common terms and phrases
2ndly algebraic arbitrary constant arbitrary function assume C₁ C₂ Cambridge Chap Chapter College complete primitive condition corresponding Crown 8vo curve deduce degree derived determined differential coefficients dp dy dv dv dx dx dx dy dy dx dz dx² dy dx dy dz dz dx dz dz Edition eliminating equa exact differential expressed Extra fcap fcap finite given equation Hence homogeneous functions Illustrations independent variable infinite integrating factor involving Mdx+Ndy method Mx+Ny obtained ordinary differential equations P₁ partial differential equation particular integral primitive equation Professor Prop reduced relation represent respect result satisfied second member second order Shew singular solution substituting suppose Taylor's theorem theorem tion transformation V₁ whence y₁ аф
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