A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 σελίδες |
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Σελίδα vii
... result has been finally attained . I may state for the benefit of those who are conversant with the first edition of the original work that the theo- rem which in the present volume is cited as contained in Chap . II . Art . 1 will be ...
... result has been finally attained . I may state for the benefit of those who are conversant with the first edition of the original work that the theo- rem which in the present volume is cited as contained in Chap . II . Art . 1 will be ...
Σελίδα 5
... result of the motion is a line or curve wholly continuous or subject to irregularities according to the nature of the func- tion f ( x , y ) . That the arbitrariness of origin is geometri- cally equivalent to the appearance of a single ...
... result of the motion is a line or curve wholly continuous or subject to irregularities according to the nature of the func- tion f ( x , y ) . That the arbitrariness of origin is geometri- cally equivalent to the appearance of a single ...
Σελίδα 9
... obvious . These remarks will occupy the next Article . 3. The two pages beginning with " And these conditions are sufficient , " and ending with " do not lead to conflicting results , " forming part of Arts . 3 and ( 9 )
... obvious . These remarks will occupy the next Article . 3. The two pages beginning with " And these conditions are sufficient , " and ending with " do not lead to conflicting results , " forming part of Arts . 3 and ( 9 )
Σελίδα 10
George Boole Isaac Todhunter. results , " forming part of Arts . 3 and 4 of Chapter VIII . , seem obscure and difficult . The following may perhaps be substi- tuted with advantage . The only ways in which dy_df ( x , c ) = dx dx dy_df ...
George Boole Isaac Todhunter. results , " forming part of Arts . 3 and 4 of Chapter VIII . , seem obscure and difficult . The following may perhaps be substi- tuted with advantage . The only ways in which dy_df ( x , c ) = dx dx dy_df ...
Σελίδα 14
... resulting solution y = 0 does not then represent an envelope of the curves of particu- lar primitives , nor strictly one of those curves . It represents a curve formed of branches from two of them . It is most fitly characterized as a ...
... resulting solution y = 0 does not then represent an envelope of the curves of particu- lar primitives , nor strictly one of those curves . It represents a curve formed of branches from two of them . It is most fitly characterized as a ...
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Algebra arbitrary constants Calculus of Variations Cambridge Chap Chapter Christ's College cloth College complete primitive condition Conic Sections contains Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dp dFdF differential coefficients dp dF dp dp dx dp dq dp dy dq dp du₂ dx dx dx dy dx₁ dx² dy dp dy dx dy dy dy dz dz dy dz dz eliminate English equa expression Extra fcap factor fcap function Geometry given equation Grammar Hence homogeneous function Last Multiplier Latin linear partial differential m₁ Mathematical method ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole proposition reduced relation represent result Schools Second Edition singular solution theorem theory tion transformation Trigonometry u₁ values vanish x₁ Y₁ аф
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