A Treatise on Differential EquationsMacmillan, 1865 - 496 páginas |
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Página xii
... DIFFERENTIAL EQUATIONS OF THE FIRST ORDER XXVIII . PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER XXIX . ON THE SOLUTION OF THE PARTIAL DIFFERENTIAL EQUATION Rr + S8 + Tt + U ( s2 − rt ) = V , IN WHICH R , S , T , U , V ABE GIVEN ...
... DIFFERENTIAL EQUATIONS OF THE FIRST ORDER XXVIII . PARTIAL DIFFERENTIAL EQUATIONS OF THE SECOND ORDER XXIX . ON THE SOLUTION OF THE PARTIAL DIFFERENTIAL EQUATION Rr + S8 + Tt + U ( s2 − rt ) = V , IN WHICH R , S , T , U , V ABE GIVEN ...
Página 13
George Boole. Ex . The differential equation ( √x2 + y2 ... partial tests do аф do = 0 , = ∞ = ∞ dc dx dy the first is not satisfied , the last two are satisfied . The determination of c as a function of x by the solution of the equation ...
George Boole. Ex . The differential equation ( √x2 + y2 ... partial tests do аф do = 0 , = ∞ = ∞ dc dx dy the first is not satisfied , the last two are satisfied . The determination of c as a function of x by the solution of the equation ...
Página 37
... equation . dx2 dzy dx2 And the same result holds even if be infinite , provided d'y do that = vanish . dx2 dy Lastly ... differential equations of the higher orders , both ordinary and partial , in a form of great beauty , and will be ...
... equation . dx2 dzy dx2 And the same result holds even if be infinite , provided d'y do that = vanish . dx2 dy Lastly ... differential equations of the higher orders , both ordinary and partial , in a form of great beauty , and will be ...
Página 56
... ordinary differential equations , so the generalized condition of dependence of functions of any number of vari- ables forms a fundamental part of the theory of partial differ- ential equations . This is contained in the following ...
... ordinary differential equations , so the generalized condition of dependence of functions of any number of vari- ables forms a fundamental part of the theory of partial differ- ential equations . This is contained in the following ...
Página 59
... ] 2. As it has been shewn that a primitive u = ( v ) leads to a linear partial differential equation of the form Pp Qq = R .... ...... ( 1 ) . ( 2 ) , provided that u = a , v = b , ART . 2. ] 59 ADDITIONS TO CHAPTER XIV .
... ] 2. As it has been shewn that a primitive u = ( v ) leads to a linear partial differential equation of the form Pp Qq = R .... ...... ( 1 ) . ( 2 ) , provided that u = a , v = b , ART . 2. ] 59 ADDITIONS TO CHAPTER XIV .
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Términos y frases comunes
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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