Partial Differential Equations: An Essay Towards an Entirely New Method of Integrating Them |
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... independent variable ; but this has arisen out of the peculiarities of the Author's system , by which every equation , whatever be the number of its independent variables , is reduced to an equivalent equation of only one independent ...
... independent variable ; but this has arisen out of the peculiarities of the Author's system , by which every equation , whatever be the number of its independent variables , is reduced to an equivalent equation of only one independent ...
Page 1
... independent variables , and sometimes also by changing the dependent variable . The process is however often tedious , and it is frequently far from obvious what ought to be chosen as the new variables , even when it is seen that a ...
... independent variables , and sometimes also by changing the dependent variable . The process is however often tedious , and it is frequently far from obvious what ought to be chosen as the new variables , even when it is seen that a ...
Page 2
... independent variables . 3. If from the ( n ) independent variables t , x , y , z , ... we wish to pass to a new set 7 , § , n , ... , formulæ for this pur- pose are ready to hand in the Differential Calculus . They are of the following ...
... independent variables . 3. If from the ( n ) independent variables t , x , y , z , ... we wish to pass to a new set 7 , § , n , ... , formulæ for this pur- pose are ready to hand in the Differential Calculus . They are of the following ...
Page 3
... independent variables will be best learned from the examples which will be given . Distinctive Symbols of operation for different sets of inde- pendent variables . 4. In the formula ( 1 ) certain terms are enclosed in brackets ; this is ...
... independent variables will be best learned from the examples which will be given . Distinctive Symbols of operation for different sets of inde- pendent variables . 4. In the formula ( 1 ) certain terms are enclosed in brackets ; this is ...
Page 4
... independent variables in terms of the original set , it is of importance to take care that each member of the new set be really an inde- pendent variable ; i.e. that it be such as cannot be expressed in terms of the other members of its ...
... independent variables in terms of the original set , it is of importance to take care that each member of the new set be really an inde- pendent variable ; i.e. that it be such as cannot be expressed in terms of the other members of its ...
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A₁ ad¸u Algebra arbitrary constants arbitrary functions ARITHMETIC beginners BROOKE FOSS WESTCOTT Cambridge Chapter CLASS-BOOK cloth coefficients commutative complete integral Crown 8vo d¸³u D₁ D₁u D₁x D₂ d³u Differential Calculus EDWARD THRING ELEMENTARY TREATISE English equa equivalent Essay Examination Papers Extra fcap F₁ Fcap final integral finite terms form of H ƒ Dr ƒ dt GEOMETRY gives Grammar Greek ht+kx independent variables integral in finite John's College kx)² Latin liberty to assume Mathematical method MIXED MATHEMATICS Multiply numerous Examples obtained partial differential equation preceding example principle proposed equation quasi-constants render revised root-integral Schools Second Edition second order shew student substitute symbolical integral symbols of operation tion Trigonometry utª write
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