A Treatise on Differential Equations. Supplementary Volume |
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Page viii
... tion of the Combination of Testimonies or Judgments . Vol . 21 , 1857 , pages 597 ... 653 . In the Bulletin de l'Académie ... de St Pétersbourg . Considérations sur la recherche des intégrales premières des équations différentielles ...
... tion of the Combination of Testimonies or Judgments . Vol . 21 , 1857 , pages 597 ... 653 . In the Bulletin de l'Académie ... de St Pétersbourg . Considérations sur la recherche des intégrales premières des équations différentielles ...
Page x
... tion of a Particular Differential Equation . Vol . 33 , 1848 , page 211 . Notes on Quaternions . Same Vol . , pages 278 ... 280 . In the Fourth Series of the same Magazine . On the Theory of Probabilities , and in particular on ...
... tion of a Particular Differential Equation . Vol . 33 , 1848 , page 211 . Notes on Quaternions . Same Vol . , pages 278 ... 280 . In the Fourth Series of the same Magazine . On the Theory of Probabilities , and in particular on ...
Page 1
... tion may be reduced to , ( because it may be constructed from ) , an equation in which the variables are separated . Assume as this equation and let ( Ay ' + C ) dx ' + ( A'x ' + C ' ) dy ' = 0 ............... . ( 1 ) x ' = x + m1y , y ...
... tion may be reduced to , ( because it may be constructed from ) , an equation in which the variables are separated . Assume as this equation and let ( Ay ' + C ) dx ' + ( A'x ' + C ' ) dy ' = 0 ............... . ( 1 ) x ' = x + m1y , y ...
Page 4
... tion of the differential equation becomes a limiting case of that of the equation of finite differences ( Eq . ( 3 ) , Chap . 11. ) . But if we represent x and y by the rectangular co - ordinates of a moving point on a plane the ...
... tion of the differential equation becomes a limiting case of that of the equation of finite differences ( Eq . ( 3 ) , Chap . 11. ) . But if we represent x and y by the rectangular co - ordinates of a moving point on a plane the ...
Page 5
... tion f ( x , y ) . That the arbitrariness of origin is geometri- cally equivalent to the appearance of a single arbitrary con- stant in the relation connecting x and y may be shewn thus . Let y = $ ( X 。, Y。, x ) be the relation ...
... tion f ( x , y ) . That the arbitrariness of origin is geometri- cally equivalent to the appearance of a single arbitrary con- stant in the relation connecting x and y may be shewn thus . Let y = $ ( X 。, Y。, x ) be the relation ...
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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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