Partial differential equations: an essay towards an entirely new method of integrating them1871 |
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... functions of them quasi - constants : the use of d will imply that t , y , z ... and their functions are quasi ... arbitrary function of x , y , z , ... its quasi - constants : and this principle is general and may be thus stated , —after an ...
... functions of them quasi - constants : the use of d will imply that t , y , z ... and their functions are quasi ... arbitrary function of x , y , z , ... its quasi - constants : and this principle is general and may be thus stated , —after an ...
Page
... functions of them quasi - constants : the use of d will imply that t , y , z ... and their functions are quasi ... arbitrary function of x , y , z , ... its quasi - constants : and this principle is general and may be thus stated , —after an ...
... functions of them quasi - constants : the use of d will imply that t , y , z ... and their functions are quasi ... arbitrary function of x , y , z , ... its quasi - constants : and this principle is general and may be thus stated , —after an ...
Page 2
... functions of them quasi - constants : the use of d will imply that t , y , z ... and their functions are quasi ... arbitrary function of x , y , z , ... its quasi - constants : and this principle is general and may be thus stated , —after an ...
... functions of them quasi - constants : the use of d will imply that t , y , z ... and their functions are quasi ... arbitrary function of x , y , z , ... its quasi - constants : and this principle is general and may be thus stated , —after an ...
Page 12
... arbitrary functions of § , the left - hand members must also be arbitrary functions of each other ; a t .. u = ( 6 + 22 ) ; F ( tan ^ ! — log Ve + 23 ) . Ex . 13. To integrate - ( bu - cx ) du + ( ct - au ) du = ax - bt . Comparing this ...
... arbitrary functions of § , the left - hand members must also be arbitrary functions of each other ; a t .. u = ( 6 + 22 ) ; F ( tan ^ ! — log Ve + 23 ) . Ex . 13. To integrate - ( bu - cx ) du + ( ct - au ) du = ax - bt . Comparing this ...
Page 13
... arbitrary functions of § , n ; consequently each of them is an arbitrary function of the other two . : . 0 = F { ( t − x ) T , ( x − y ) IT , ( y- u ) JQ } . - Ex . 15. To integrate t'du + x2d ̧u = atx . Comparing this with the ...
... arbitrary functions of § , n ; consequently each of them is an arbitrary function of the other two . : . 0 = F { ( t − x ) T , ( x − y ) IT , ( y- u ) JQ } . - Ex . 15. To integrate t'du + x2d ̧u = atx . Comparing this with the ...
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A₁ ad¸u Algebra arbitrary constants arbitrary functions ARITHMETIC beginners brackets BROOKE FOSS WESTCOTT C₁ Cambridge Chapter CLASS-BOOK cloth coefficients commutative complete integral Crown 8vo d¸³u D₁ D₁u D₁x d₂ d³u Differential Calculus Dudu ELEMENTARY TREATISE English equa equivalent Essay Examination Papers Extra fcap F₁ Fcap final integral finite terms form of ƒ formula of Art GEOMETRY gives Grammar Greek h+ka Hence ht+kx independent variables integral in finite John's College kx)² liberty to assume Mathematical method MIXED MATHEMATICS obtained partial differential equation pendent variables preceding example principle proposed equation quasi-constants reference render root-integral Ruled Surfaces Schools Second Edition second order set of independent shew student substitute symbolical integral symbols of operation tion Trigonometry write
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