A Treatise on Differential Equations. Supplementary Volume |
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Page viii
... applications to the Theory of Definite Integrals , 1857 , pages 745 ... 803 . On the Theory of Probabilities , 1862 ... Application of the Theory of Probabilities to the Ques- tion of the Combination of Testimonies or Judgments . Vol ...
... applications to the Theory of Definite Integrals , 1857 , pages 745 ... 803 . On the Theory of Probabilities , 1862 ... Application of the Theory of Probabilities to the Ques- tion of the Combination of Testimonies or Judgments . Vol ...
Page ix
... application to the Reduction of the General Equation of the Second Order . Vol . 2 , 1841 , pages 64 ... 73 . On Certain Theorems in the Calculus of Variations . Same Vol . , pages 97 ... 102 . On the Integration of Linear Differential ...
... application to the Reduction of the General Equation of the Second Order . Vol . 2 , 1841 , pages 64 ... 73 . On Certain Theorems in the Calculus of Variations . Same Vol . , pages 97 ... 102 . On the Integration of Linear Differential ...
Page 3
... applying this theory to the reduction of the general solution ( 2 ) in the case in which m m2 , it must be observed that the numerator of the first member is the same function of m ,, x , y , as the denominator is of m2 , x , y ; or ...
... applying this theory to the reduction of the general solution ( 2 ) in the case in which m m2 , it must be observed that the numerator of the first member is the same function of m ,, x , y , as the denominator is of m2 , x , y ; or ...
Page 6
... from the commentary on the limits of error on their application by which they are accompanied ( Moigno , Vol . II . pp . 385-434 ) . CHAPTER XX . ADDITIONS TO CHAPTER VII . 1. [ 6 [ CH . XIX . ADDITIONS TO CHAPTER II .
... from the commentary on the limits of error on their application by which they are accompanied ( Moigno , Vol . II . pp . 385-434 ) . CHAPTER XX . ADDITIONS TO CHAPTER VII . 1. [ 6 [ CH . XIX . ADDITIONS TO CHAPTER II .
Page 8
... application we should not only be per- mitted to assign a particular value to the arbitrary constant in ( 15 ) , so deducing what in reference to its source would then be termed a particular primitive , but to combine the re- sults of ...
... application we should not only be per- mitted to assign a particular value to the arbitrary constant in ( 15 ) , so deducing what in reference to its source would then be termed a particular primitive , but to combine the re- sults of ...
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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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