A Treatise on Differential Equations, Volumen1Macmillan and Company, 1877 - 496 páginas |
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Página viii
... second order given in 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 ...
... second order given in 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 ...
Página ix
... second order , and , as has already been intimated , to symboli- cal methods . The demonstrations scattered through the work are also many of them new , at least in form . In recent years much light has been thrown on certain classes of ...
... second order , and , as has already been intimated , to symboli- cal methods . The demonstrations scattered through the work are also many of them new , at least in form . In recent years much light has been thrown on certain classes of ...
Página xiii
... ORDER HIGHER member is 0 , 200 . THAN THE FIRST · Relation to complete primitive , 187. Solution by development , 189 . Linear equations , 192-199 . General rule when the second Second member a function of x , -Variation Dependent class ...
... ORDER HIGHER member is 0 , 200 . THAN THE FIRST · Relation to complete primitive , 187. Solution by development , 189 . Linear equations , 192-199 . General rule when the second Second member a function of x , -Variation Dependent class ...
Página xiv
... order higher than the first , 289. Exercises , 291 . CHAPTER XIII . SIMULTANEOUS DIFFERENTIAL EQUATIONS Meaning of a ... SECOND ORDER 361 The equation Rr + Ss + Tt = V , 361. Condition of its admitting a first integral of the form u = ƒ ...
... order higher than the first , 289. Exercises , 291 . CHAPTER XIII . SIMULTANEOUS DIFFERENTIAL EQUATIONS Meaning of a ... SECOND ORDER 361 The equation Rr + Ss + Tt = V , 361. Condition of its admitting a first integral of the form u = ƒ ...
Página 4
... second degree and under a radical sign . In ( 5 ) we meet with the second differential coefficient in addition to the first differential dy dx dzy dx2 coefficient and the ... degree according 4 [ CH . I. SPECIES , ORDER AND DEGREE .
... second degree and under a radical sign . In ( 5 ) we meet with the second differential coefficient in addition to the first differential dy dx dzy dx2 coefficient and the ... degree according 4 [ CH . I. SPECIES , ORDER AND DEGREE .
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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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