A Treatise on Differential Equations. Supplementary Volume |
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Page x
... , p . 465 , on the Theory of Chances developed in Professor Boole's Laws of Thought . ' Vol . 8 , 1854 , pages 87 ... 91 . On the Conditions by which the Solutions of Questions in X LIST OF PROFESSOR BOOLE'S WRITINGS .
... , p . 465 , on the Theory of Chances developed in Professor Boole's Laws of Thought . ' Vol . 8 , 1854 , pages 87 ... 91 . On the Conditions by which the Solutions of Questions in X LIST OF PROFESSOR BOOLE'S WRITINGS .
Page 20
... developed form the complete primitive . See Chap . II . Art . 12 . The values of dy day , & c . ad inf . , as derived from the dx ' dx2 ' differential equation , are the same as those derived from the complete primitive . But a solution ...
... developed form the complete primitive . See Chap . II . Art . 12 . The values of dy day , & c . ad inf . , as derived from the dx ' dx2 ' differential equation , are the same as those derived from the complete primitive . But a solution ...
Page 24
... developed in ascending positive powers of u . Supposing it so developed , the diffe- rential equation becomes du dx = Au + Buß + & c . , in which A , B , ... are functions of x , and a , B , ... ascending positive indices . Hence if u ...
... developed in ascending positive powers of u . Supposing it so developed , the diffe- rential equation becomes du dx = Au + Buß + & c . , in which A , B , ... are functions of x , and a , B , ... ascending positive indices . Hence if u ...
Page 32
... developed by Leibnitz in 1692-4 * , the corresponding theory of the singular solutions of differential equations has been of very slow growth . The existence of these solutions was first recognised in 1715 by Brook Taylor ; it was ...
... developed by Leibnitz in 1692-4 * , the corresponding theory of the singular solutions of differential equations has been of very slow growth . The existence of these solutions was first recognised in 1715 by Brook Taylor ; it was ...
Page 33
... developed , is the following . From the transformed equation we have du dx = = ( x , u ) Hence x = C + + / du ( x , u ) ' 1+ JJ 1 du x Ꮯ СЈф ( х , и ) If this be satisfied by a solution involving x and y , and if that solution be a ...
... developed , is the following . From the transformed equation we have du dx = = ( x , u ) Hence x = C + + / du ( x , u ) ' 1+ JJ 1 du x Ꮯ СЈф ( х , и ) If this be satisfied by a solution involving x and y , and if that solution be a ...
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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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