A Treatise on Differential Equations, Volumen1Macmillan and Company, 1877 - 496 páginas |
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Página vii
... Chap . XVI . , that the expressions by which these inverse operations are sym- bolized are in reality a species of interrogations , admitting of answers , legitimate , but differing in species and character ac- cording to the nature of ...
... Chap . XVI . , that the expressions by which these inverse operations are sym- bolized are in reality a species of interrogations , admitting of answers , legitimate , but differing in species and character ac- cording to the nature of ...
Página viii
... Chap . XV . With respect to the sources from which information has been drawn , it is proper to mention that , on questions re- lating to the theory of differential equations , my obligations are greatest to Lagrange , Jacobi , Cauchy ...
... Chap . XV . With respect to the sources from which information has been drawn , it is proper to mention that , on questions re- lating to the theory of differential equations , my obligations are greatest to Lagrange , Jacobi , Cauchy ...
Página xv
... Chap . II . Arts . 1--11 . Chap . III . Chap . IV . Arts . 1-9 . Chap . V. Arts . 1-4 . Chap . VI . Arts . 1-10 . Chap . VII . Arts . 1—8 . Chap . VIII . Arts . 1–7 . Chap . IX . Arts . 1 , 3-12 . Chap . X. Arts . 1-3 . Chap . XI . Arts ...
... Chap . II . Arts . 1--11 . Chap . III . Chap . IV . Arts . 1-9 . Chap . V. Arts . 1-4 . Chap . VI . Arts . 1-10 . Chap . VII . Arts . 1—8 . Chap . VIII . Arts . 1–7 . Chap . IX . Arts . 1 , 3-12 . Chap . X. Arts . 1-3 . Chap . XI . Arts ...
Página 28
... Chap . I. Art . 6. It is evident that , as c is arbi- trary , such a value may be assigned to it as to make a given value of y correspond to a given value of x . If those corre- sponding values are x , y , we have only to assume f ( x ...
... Chap . I. Art . 6. It is evident that , as c is arbi- trary , such a value may be assigned to it as to make a given value of y correspond to a given value of x . If those corre- sponding values are x , y , we have only to assume f ( x ...
Página 37
... usually solved . [ For another method see the Supplementary Volume , Chap- ter XIX , Arts . 1 and 2 : ] .of.p . 302-3 .p.3 . 10. The linear differential equation of the first order and ART . 9. ] 37 HOMOGENEOUS EQUATIONS .
... usually solved . [ For another method see the Supplementary Volume , Chap- ter XIX , Arts . 1 and 2 : ] .of.p . 302-3 .p.3 . 10. The linear differential equation of the first order and ART . 9. ] 37 HOMOGENEOUS EQUATIONS .
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Términos y frases comunes
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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