A Treatise on Differential EquationsMacmillan and Company, 1859 - 494 páginas |
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Página xii
... DEGREE PAGE 69 91 Riccati's equation du dx dy ( + bu2 = cx " , 91. x axay + by2 = cx ” , 92. Solution by continued fractions , 96 , 7. Riccati's equation made linear , 103 . Euler's equation , 104. Theorem of development , 107 ...
... DEGREE PAGE 69 91 Riccati's equation du dx dy ( + bu2 = cx " , 91. x axay + by2 = cx ” , 92. Solution by continued fractions , 96 , 7. Riccati's equation made linear , 103 . Euler's equation , 104. Theorem of development , 107 ...
Página xi
... Degree , 3. General solution , Com- plete primitive , 6. Genesis of Differential equations , 8. How many of each order possible , -how many independent , 15. Cri- terion of derivation from a common primitive , 16. General forin of ...
... Degree , 3. General solution , Com- plete primitive , 6. Genesis of Differential equations , 8. How many of each order possible , -how many independent , 15. Cri- terion of derivation from a common primitive , 16. General forin of ...
Página xii
... DEGREE dy dx + bu2 = cx TM , 91. x . -ay + by3 = cx ” , 92. Solution by continued fractions , 96 , 7. Riccati's equation made linear , 103 . Euler's equation , 104. Theorem of development , 107. Exercises , IIO . CHAPTER VII . ON ...
... DEGREE dy dx + bu2 = cx TM , 91. x . -ay + by3 = cx ” , 92. Solution by continued fractions , 96 , 7. Riccati's equation made linear , 103 . Euler's equation , 104. Theorem of development , 107. Exercises , IIO . CHAPTER VII . ON ...
Página xiii
... degree , 288-302 . Systems of two equations , 289. Of more than two , 293. Linear equations with constant coefficients , 295. Equations of an order higher than the first , 302. Exercises , 311 . 235 267 287 CHAPTER XIV . OF PARTIAL ...
... degree , 288-302 . Systems of two equations , 289. Of more than two , 293. Linear equations with constant coefficients , 295. Equations of an order higher than the first , 302. Exercises , 311 . 235 267 287 CHAPTER XIV . OF PARTIAL ...
Página 1
... Degree . 2. The species of differential equations are determined either by the mode in which differential coefficients enter into their composition , or by the nature of the differential coeffi- cients themselves . We may thus ...
... Degree . 2. The species of differential equations are determined either by the mode in which differential coefficients enter into their composition , or by the nature of the differential coeffi- cients themselves . We may thus ...
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Palavras e frases frequentes
2ndly algebraic arbitrary constant arbitrary function C₁ C₂ Cambridge Chap cloth College complete primitive condition corresponding Crown 8vo curve deduce degree derived determined dF do dF differential coefficients dp dy dt dt dx dx dx dy dx dx dz dx² dy dy dy dz dz dx dz dz eliminating envelope species equa exact differential example expression Fcap finite given equation gives Hence homogeneous functions independent variable infinite integrating factor involving linear equation Mdx+Ndy method Mx+Ny obtained ordinary differential equations P₁ partial differential equation particular integral primitive equation reduced relation represent respect result satisfied second member second order shew singular solution substituting supposed symbolical form theorem tion transformation V₂ whence X₁ Y₁ аф
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