A Treatise on Differential Equations, Τόμος 2Macmillan and Company, 1865 |
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Σελίδα vi
... memoirs which lose nothing by being separated from the other volume ; and indeed no indications had been left by Professor Boole of the place which such Chapters were to occupy in the enlarged edition . I have printed all the ...
... memoirs which lose nothing by being separated from the other volume ; and indeed no indications had been left by Professor Boole of the place which such Chapters were to occupy in the enlarged edition . I have printed all the ...
Σελίδα 32
... memoir , entitled Expo- sition de quelques Paradoxes dans le Calcul Integral , published in the Memoirs of the Academy of Berlin for 1756 , first made them a direct object of investigation ; but the foundations of their true theory were ...
... memoir , entitled Expo- sition de quelques Paradoxes dans le Calcul Integral , published in the Memoirs of the Academy of Berlin for 1756 , first made them a direct object of investigation ; but the foundations of their true theory were ...
Σελίδα 34
... Memoirs of the French Academy for 1772 , p . 343 , established the tests dp dy = ∞ , d / 1 = ∞ , dx and shewed their respective uses . He established also the test which consists in the comparison of differential coefficients , and he ...
... Memoirs of the French Academy for 1772 , p . 343 , established the tests dp dy = ∞ , d / 1 = ∞ , dx and shewed their respective uses . He established also the test which consists in the comparison of differential coefficients , and he ...
Σελίδα 37
... Memoir of 1790_throws but little light upon the subject of this Chapter . But it exhibits the theory of the singular solutions of differential equations of the higher orders , both ordinary and partial , in a form of great beauty , and ...
... Memoir of 1790_throws but little light upon the subject of this Chapter . But it exhibits the theory of the singular solutions of differential equations of the higher orders , both ordinary and partial , in a form of great beauty , and ...
Σελίδα 73
... memoirs by Professor Boole , published in the Philosophical Trans- actions . The first memoir is entitled On Simultaneous Differential Equations of the First Order in which the Number of the Variables exceeds by more than one the Number ...
... memoirs by Professor Boole , published in the Philosophical Trans- actions . The first memoir is entitled On Simultaneous Differential Equations of the First Order in which the Number of the Variables exceeds by more than one the Number ...
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arbitrary constants C₂ Chap Chapter cloth common integral complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dp dFdF differential coefficients dp dp dx dp dq dp dy dp₁ dq dp du₁ dx dp dx dx dx dz dx₁ dx² dy dp dy dx dy dz dz dy dz dz eliminate equa expression Extra fcap factor Fcap given equation Heir of Redclyffe Hence HENRY KINGSLEY homogeneous function independent variables infinite Jacobi JAMES MCCOSH Last Multiplier linear partial differential m₁ memoir obtain ordinary differential equations P₁ partial differential equation particular integral Professor Boole proposition reduced represent result Second Edition shewn singular solution system of ordinary theorem theory tion transformation u₁ u₂ values vanish whence x₁ Y₁ аф
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