Partial differential equations: an essay towards an entirely new method of integrating them1871 |
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Page 49
... applied to TU is equivalent to the symbol Tf + T'f ' + 1 T " f " 1.2 1 + • 1.2.3 Tf " " + applied to U. Since = dr . TU = TdrU + } d‚T.d ” 1U + = ( Tdr + d1T.nd " ¬1 + d¿T.n 1 n ( n − 1 ) 1.2 - d3T.d2U + ... n 1 dr - 2 + ... .. ) U , 2 ...
... applied to TU is equivalent to the symbol Tf + T'f ' + 1 T " f " 1.2 1 + • 1.2.3 Tf " " + applied to U. Since = dr . TU = TdrU + } d‚T.d ” 1U + = ( Tdr + d1T.nd " ¬1 + d¿T.n 1 n ( n − 1 ) 1.2 - d3T.d2U + ... n 1 dr - 2 + ... .. ) U , 2 ...
Page 50
... applied to PU is equi- valent to the symbol edid + dada + ... Pƒ ( î , λ , ...... . ) applied to U , the Greek letters K , λ , representing d , d ... when these are to be treated as symbols of quantity . For ... dr . PUeded PK " . U ...
... applied to PU is equi- valent to the symbol edid + dada + ... Pƒ ( î , λ , ...... . ) applied to U , the Greek letters K , λ , representing d , d ... when these are to be treated as symbols of quantity . For ... dr . PUeded PK " . U ...
Page 51
... applied to PU is equivalent to the symbol eDdx + Addλ + didμ + ... Pƒ ( x , λ , μ ‚ ...... . ) applied to U ; K , λ , μ , ... representing D , At , & t ... when these are to be treated as symbols of quantity . The proof of this theorem ...
... applied to PU is equivalent to the symbol eDdx + Addλ + didμ + ... Pƒ ( x , λ , μ ‚ ...... . ) applied to U ; K , λ , μ , ... representing D , At , & t ... when these are to be treated as symbols of quantity . The proof of this theorem ...
Page 81
... applying the principles and methods of former Chapters . Ex . 1. To integrate tD1A ̧u + AD ̧u = 0 , on the supposition that D , and A , are commutative . Commutate the symbols Dt , At , and multiply by t − 1 ; : . t ^ △ ¿ . D¿u + At1 ...
... applying the principles and methods of former Chapters . Ex . 1. To integrate tD1A ̧u + AD ̧u = 0 , on the supposition that D , and A , are commutative . Commutate the symbols Dt , At , and multiply by t − 1 ; : . t ^ △ ¿ . D¿u + At1 ...
Page 17
... applied in the solution of problems ; he has also endeavoured to give assistance to the student who is engaged in the study of the higher branches of mathematics , by representing in a geometrical form several of the processes employed ...
... applied in the solution of problems ; he has also endeavoured to give assistance to the student who is engaged in the study of the higher branches of mathematics , by representing in a geometrical form several of the processes employed ...
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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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