A Treatise on Differential Equations |
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Page xii
... homogeneous equations and for equations of the form F1 ( xy ) ydx + F2 ( xy ) xdy = 0 , 59–62 . Exercises , 67 . PAGE 55 CHAPTER V. ON THE GENERAL DETERMINATION OF THE INTEGRATING FACTORS OF THE EQUATION Mdx + Ndy = 0 • Partial ...
... homogeneous equations and for equations of the form F1 ( xy ) ydx + F2 ( xy ) xdy = 0 , 59–62 . Exercises , 67 . PAGE 55 CHAPTER V. ON THE GENERAL DETERMINATION OF THE INTEGRATING FACTORS OF THE EQUATION Mdx + Ndy = 0 • Partial ...
Page xiii
... Homogeneous equa- dxn - 2 tions , 215. Exact equations , 222. Miscellaneous methods and examples , 226. Singular integrals , 229. Exercises , 234 . CHAPTER XI . GEOMETRICAL APPLICATIONS 209 238 Curves of Pursuit , Different problems ...
... Homogeneous equa- dxn - 2 tions , 215. Exact equations , 222. Miscellaneous methods and examples , 226. Singular integrals , 229. Exercises , 234 . CHAPTER XI . GEOMETRICAL APPLICATIONS 209 238 Curves of Pursuit , Different problems ...
Page xiv
... Homogeneous equations , 281. Integrating fac- tors , 282. Equations not derivable from a single primitive , 283 . More than three variables , 286. Equations of an order higher than the first , 289. Exercises , 291 . CHAPTER XIII ...
... Homogeneous equations , 281. Integrating fac- tors , 282. Equations not derivable from a single primitive , 283 . More than three variables , 286. Equations of an order higher than the first , 289. Exercises , 291 . CHAPTER XIII ...
Page xv
... homogeneous functions , 403. The method generalized , 406 . Exercises , 410 . PAGE 381 CHAPTER XVII . SYMBOLICAL METHODS , CONTINUED Symbolical form of differential equations with variable coefficients , 412 . Finite solution , 415-436 ...
... homogeneous functions , 403. The method generalized , 406 . Exercises , 410 . PAGE 381 CHAPTER XVII . SYMBOLICAL METHODS , CONTINUED Symbolical form of differential equations with variable coefficients , 412 . Finite solution , 415-436 ...
Page 33
... homogeneous equations . B. D. E. 3 Homogeneous Equations . 8. The differential equation Mdx + Ndy ART . 7. ] 33 FIRST ORDER AND DEGREE .
... homogeneous equations . B. D. E. 3 Homogeneous Equations . 8. The differential equation Mdx + Ndy ART . 7. ] 33 FIRST ORDER AND DEGREE .
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2ndly algebraic arbitrary constant arbitrary function assume C₁ C₂ Cambridge Chap Chapter cloth complete primitive condition Crown 8vo curve deduce determined differential coefficients dp dq dp dy dt dt dv dv dv dx dx dx dy dy dx dz dx² dy dx dy dz dz dx dz dz Edition EDUCATIONAL BOOKS elementary eliminating equa exact differential example expressed fcap finite given equation gives Hence homogeneous functions independent variable integrating factor involving Mdx+Ndy method Mx+Ny obtained ordinary differential equations partial differential equation particular integral primitive equation problem reduced relation represent respect result satisfied second member second order shew singular solution substituting suppose theorem tion transformation TREATISE whence X₁ Y₁ аф
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