A Treatise on Differential Equations |
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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 + m2y ...
... 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 + m2y ...
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 。, Yo , x ) be the relation between ...
... 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 。, Yo , x ) be the relation between ...
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Common terms and phrases
arbitrary constants Cambridge Chap Chapter College complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dF dF dp dF dx dFdF differential coefficients dp dF dp dp dx dp dq dp dy dp₁ dq dp dv dv dx dp dp dx dx dx dy dy dx dz dx₁ dx² dy dp dy dx dy dz dz dy dz dz Edition eliminate equa Eton College expression Extra fcap factor function given equation Hence J. P. MAHAFFY Jacobi Last Multiplier linear partial differential m₁ memoir ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole reduced represent result revised School shewn singular solution system of ordinary theorem theory tion transformation u₁ u₂ values vanish whence X₁ Y₁ аф
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