A Treatise on Differential Equations, Volumen1Macmillan and Company, 1877 - 496 páginas |
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Página vi
... exist large and very important classes of differential equations the solution of which depends on some process of successive reduction . Now such reduction seems to have been effected at first by a repeated change of variables ...
... exist large and very important classes of differential equations the solution of which depends on some process of successive reduction . Now such reduction seems to have been effected at first by a repeated change of variables ...
Página viii
... exist in things , so no skill in the use of those aids to thought which language furnishes can relieve us from the necessity of a prior and more direct study of the things which are the subjects of our reasonings . And the more exact ...
... exist in things , so no skill in the use of those aids to thought which language furnishes can relieve us from the necessity of a prior and more direct study of the things which are the subjects of our reasonings . And the more exact ...
Página xii
... exist , 56. General form of integrating factors , 57. Special determinations for homogeneous equations and for equations of the form F1 ( xy ) ydx + F2 ( xy ) xdy = 0 , 59—62 . Exercises , 67 . CHAPTER V. ON THE GENERAL DETERMINATION OF ...
... exist , 56. General form of integrating factors , 57. Special determinations for homogeneous equations and for equations of the form F1 ( xy ) ydx + F2 ( xy ) xdy = 0 , 59—62 . Exercises , 67 . CHAPTER V. ON THE GENERAL DETERMINATION OF ...
Página 3
... + y The present chapter will be chiefly devoted to the con- sideration of that class of ordinary differential equations in which there exists a single independent variable x , a 1-2 ART . 2. ] 3 . OF DIFFERENTIAL EQUATIONS .
... + y The present chapter will be chiefly devoted to the con- sideration of that class of ordinary differential equations in which there exists a single independent variable x , a 1-2 ART . 2. ] 3 . OF DIFFERENTIAL EQUATIONS .
Página 4
George Boole. which there exists a single independent variable x , a single dependent variable y , and one or more of the differential coefficients of y taken with respect to x ; the presence of the last element only , viz . the ...
George Boole. which there exists a single independent variable x , a single dependent variable y , and one or more of the differential coefficients of y taken with respect to x ; the presence of the last element only , viz . the ...
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2ndly algebraic arbitrary constant arbitrary function assume C₁ C₂ Cambridge Chap Chapter College complete primitive condition Crown 8vo curve d²u deduce derived determined differential coefficients dp dq dp dy dv dv dx dx dx dy dx dz dx² dy dy dx dy dz dz dx dz dz Edition eliminating equa exact differential expressed Extra fcap fcap finite given equation Hence homogeneous functions Illustrations independent variable infinite integrating factor involving Mdx+Ndy method Mx+Ny obtained ordinary differential equations partial differential equation particular integral primitive equation Professor Prop reduced relation represent respect result satisfied second member second order Shew shewn singular solution substituting suppose theorem tion transformation V₁ V₂ whence X₁ Y₁ аф
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