A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 sider |
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Side xii
... GIVEN FUNCTIONS OF x , y , z , P , Q 1 74 1144 90 96 8 119 XXX . ADDITIONS TO CHAPTER XVII . XXXI . THE JACOBIAN THEORY OF THE LAST MULTIPLIER 145 175 200 XXXII . THE DIFFERENTIAL EQUATIONS OF DYNAMICS [ FRAGMENT ] 218 XXXIII . ON THE ...
... GIVEN FUNCTIONS OF x , y , z , P , Q 1 74 1144 90 96 8 119 XXX . ADDITIONS TO CHAPTER XVII . XXXI . THE JACOBIAN THEORY OF THE LAST MULTIPLIER 145 175 200 XXXII . THE DIFFERENTIAL EQUATIONS OF DYNAMICS [ FRAGMENT ] 218 XXXIII . ON THE ...
Side 1
... given for solving the differential equation ( ax + by + c ) dx + ( a'x + b'y + c ' ) dy = 0. ] But there exists another transformation by which the equa- tion may be reduced to , ( because it may be constructed from ) , an equation in ...
... given for solving the differential equation ( ax + by + c ) dx + ( a'x + b'y + c ' ) dy = 0. ] But there exists another transformation by which the equa- tion may be reduced to , ( because it may be constructed from ) , an equation in ...
Side 4
... given by D'Alembert in his Opus- cules , Vol . 1v . p . 255. D'Alembert calls it a demonstration ; it seems to me only an illustration , at least in the brief form of the text and that such was Cauchy's opinion may perhaps be inferred ...
... given by D'Alembert in his Opus- cules , Vol . 1v . p . 255. D'Alembert calls it a demonstration ; it seems to me only an illustration , at least in the brief form of the text and that such was Cauchy's opinion may perhaps be inferred ...
Side 7
... given by the two primitives ( 5 ) and ( 6 ) , un- restricted by any connexion between C1 and C2 . In this sense then the solution ( 9 ) is general , that it includes all the parti- cular relations between y and x which are deducible ...
... given by the two primitives ( 5 ) and ( 6 ) , un- restricted by any connexion between C1 and C2 . In this sense then the solution ( 9 ) is general , that it includes all the parti- cular relations between y and x which are deducible ...
Side 8
... given , and which in geometry represents the same totality of branches of curves as ( 9 ) , with this difference only , that they are differ- ently paired together . 2. [ This Article relates to Art . 3 of Chap . vII . ] The question ...
... given , and which in geometry represents the same totality of branches of curves as ( 9 ) , with this difference only , that they are differ- ently paired together . 2. [ This Article relates to Art . 3 of Chap . vII . ] The question ...
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A Treatise on Differential Equations: Supplementary Volume George Boole Uten tilgangsbegrensning - 1865 |
Vanlige uttrykk og setninger
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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