A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 σελίδες |
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Σελίδα xi
... Professor Boole's writings which have fallen under the notice of the editor ; it is possible that there may be a few omissions . ] CONTENTS . } CHAPTER XIX . ADDITIONS TO CHAPTER II LIST OF PROFESSOR BOOLE'S WRITINGS . xi.
... Professor Boole's writings which have fallen under the notice of the editor ; it is possible that there may be a few omissions . ] CONTENTS . } CHAPTER XIX . ADDITIONS TO CHAPTER II LIST OF PROFESSOR BOOLE'S WRITINGS . xi.
Σελίδα 7
... possible value we obtain an infinite system of such curves , each consisting of two branches . The aggregate of branches thus obtained is evidently the same as the aggre- gate of curves given by the two primitives ( 5 ) and ( 6 ) , un ...
... possible value we obtain an infinite system of such curves , each consisting of two branches . The aggregate of branches thus obtained is evidently the same as the aggre- gate of curves given by the two primitives ( 5 ) and ( 6 ) , un ...
Σελίδα 13
... of c between a primitive y = f ( x , c ) and the derived equation dy = 0 , does not necessarily lead to a singular solution in the dc sense above explained . For it is possible that the ART . 4. ] 13 ADDITIONS TO CHAPTER VIII .
... of c between a primitive y = f ( x , c ) and the derived equation dy = 0 , does not necessarily lead to a singular solution in the dc sense above explained . For it is possible that the ART . 4. ] 13 ADDITIONS TO CHAPTER VIII .
Σελίδα 14
George Boole Isaac Todhunter. sense above explained . For it is possible that the derived equation df ( x , c ) dc = 0 may neither on the one hand enable us to determine c as a function of x , so leading to a singular solution ; nor , on ...
George Boole Isaac Todhunter. sense above explained . For it is possible that the derived equation df ( x , c ) dc = 0 may neither on the one hand enable us to determine c as a function of x , so leading to a singular solution ; nor , on ...
Σελίδα 22
... possible . Any test found- ed upon a comparison of the values of differential coefficients , any test therefore furnished by the Differential Calculus , would be insufficient for the discrimination of such cases . Ex . 3. Given dy = y ...
... possible . Any test found- ed upon a comparison of the values of differential coefficients , any test therefore furnished by the Differential Calculus , would be insufficient for the discrimination of such cases . Ex . 3. Given dy = y ...
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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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