A Treatise on Differential Equations. Supplementary Volume |
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Page v
... references and allusions to the portions thus marked to be omitted which would not apply to the substituted matter . Thus in attempting to carry out the directions it would have been necessary to accept the responsibility of making many ...
... references and allusions to the portions thus marked to be omitted which would not apply to the substituted matter . Thus in attempting to carry out the directions it would have been necessary to accept the responsibility of making many ...
Page vi
... some of them were very obscure and had to be carefully and laboriously copied for the press . In general the equations were not numbered , and thus only blanks occurred in place of references ; this circumstance often vi PREFACE .
... some of them were very obscure and had to be carefully and laboriously copied for the press . In general the equations were not numbered , and thus only blanks occurred in place of references ; this circumstance often vi PREFACE .
Page 4
... reference to equation ( 3 ) of Chap . II . I had myself drawn Professor Boole's attention to Chap . II . Arts . 2 , 3. The geometrical process of Chap . 11. Art . 3 , ap- pears to have been first given by D'Alembert in his Opus- cules ...
... reference to equation ( 3 ) of Chap . II . I had myself drawn Professor Boole's attention to Chap . II . Arts . 2 , 3. The geometrical process of Chap . 11. Art . 3 , ap- pears to have been first given by D'Alembert in his Opus- cules ...
Page 8
... reference to its source would then be termed a particular primitive , but to combine the re- sults of different determinations of c together , so as to obtain every form of solution which is implied either in the func- tional equation ...
... reference to its source would then be termed a particular primitive , but to combine the re- sults of different determinations of c together , so as to obtain every form of solution which is implied either in the func- tional equation ...
Page 34
... reference to the passages in the later editions of Euler's Institutiones Calculi Integralis : Vol . I. pages 343 and 355 of the edition of 1792 ; Vol . I. pages 342 and 354 of the edition of 1824. ] Laplace in the Memoirs of the French ...
... reference to the passages in the later editions of Euler's Institutiones Calculi Integralis : Vol . I. pages 343 and 355 of the edition of 1792 ; Vol . I. pages 342 and 354 of the edition of 1824. ] Laplace in the Memoirs of the French ...
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Common terms and phrases
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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