A Treatise on Differential EquationsMacmillan, 1865 - 496 σελίδες |
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Σελίδα v
... original work , and it is therefore necessary to explain why another plan has been adopted . In some cases Professor Boole had indicated that certain portions of the original work were to be omitted and their places supplied from the ...
... original work , and it is therefore necessary to explain why another plan has been adopted . In some cases Professor Boole had indicated that certain portions of the original work were to be omitted and their places supplied from the ...
Σελίδα vi
... original volume should be reprinted , and that the manuscripts should be collected and published separately . This plan has the ob- vious recommendation of enabling those who are already familiar with the original work to turn their ...
... original volume should be reprinted , and that the manuscripts should be collected and published separately . This plan has the ob- vious recommendation of enabling those who are already familiar with the original work to turn their ...
Σελίδα vii
... original work that the theo- rem which in the present volume is cited as contained in Chap . II . Art . 1 will be found in Chap . IV . Art . 2 of the first edition : the change was made by the direction of Professor Boole's interleaved ...
... original work that the theo- rem which in the present volume is cited as contained in Chap . II . Art . 1 will be found in Chap . IV . Art . 2 of the first edition : the change was made by the direction of Professor Boole's interleaved ...
Σελίδα 1
... original equation . Now on substi- tuting in the assumed equation the values of x ' and y ' , and comparing with the equation given , we deduce a system of relations equivalent to the following , viz .: The quantities m1 , m , are roots ...
... original equation . Now on substi- tuting in the assumed equation the values of x ' and y ' , and comparing with the equation given , we deduce a system of relations equivalent to the following , viz .: The quantities m1 , m , are roots ...
Σελίδα 7
... original primitives ( 5 ) and ( 6 ) . And it is only in this sense not general that it groups these relations together in a particular manner . C2 . To the expression of the complete primitive a certain variety of form may be given ...
... original primitives ( 5 ) and ( 6 ) . And it is only in this sense not general that it groups these relations together in a particular manner . C2 . To the expression of the complete primitive a certain variety of form may be given ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
arbitrary constants Cambridge Chap Chapter College complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dF dF dp dF dx dFdF differential coefficients dp dF dp dp dx dp dq dp dy dp₁ dq dp dv dv dx dp dp dx dx dx dy dy dx dz dx₁ dx² dy dp dy dx dy dz dz dy dz dz Edition eliminate equa Eton College expression Extra fcap factor function given equation Hence J. P. MAHAFFY Jacobi Last Multiplier linear partial differential m₁ memoir ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole reduced represent result revised School shewn singular solution system of ordinary theorem theory tion transformation u₁ u₂ values vanish whence X₁ Y₁ аф
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