A Treatise on Differential Equations, Τόμος 1Macmillan, 1872 - 85 σελίδες |
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Σελίδα v
... chapter contain that kind of matter which has usually been thought suitable for the beginner , while the latter ones are devoted either to an account of recent discovery , or to the discussion of such deeper questions of principle as ...
... chapter contain that kind of matter which has usually been thought suitable for the beginner , while the latter ones are devoted either to an account of recent discovery , or to the discussion of such deeper questions of principle as ...
Σελίδα viii
... chapters of the work , I trust that the exposition of them which is there given will repay the attention of the student . I have endea- voured to supply what appeared to me to be serious defects in their logic , and I have collected ...
... chapters of the work , I trust that the exposition of them which is there given will repay the attention of the student . I have endea- voured to supply what appeared to me to be serious defects in their logic , and I have collected ...
Σελίδα x
... John's College , as well as by myself ; and I trust that few misprints or errors will now be found in the volume . ST JOHN'S COLLEGE , CAMBRIDGE , October , 1865 . I. TODHUNTER . CONTENTS . CHAPTER I. OF THE NATURE AND ORIGIN OF.
... John's College , as well as by myself ; and I trust that few misprints or errors will now be found in the volume . ST JOHN'S COLLEGE , CAMBRIDGE , October , 1865 . I. TODHUNTER . CONTENTS . CHAPTER I. OF THE NATURE AND ORIGIN OF.
Σελίδα xi
... CHAPTER III . EXACT DIFFERENTIAL EQUATIONS OF THE FIRST DEGREE General criterion , 47. Mode of solution , 50. Practical simplifica- tions , 52. Exercises , 53 . 23 47 CHAPTER IV . ON THE INTEGRATING FACTORS OF THE DIFFERENTIAL.
... CHAPTER III . EXACT DIFFERENTIAL EQUATIONS OF THE FIRST DEGREE General criterion , 47. Mode of solution , 50. Practical simplifica- tions , 52. Exercises , 53 . 23 47 CHAPTER IV . ON THE INTEGRATING FACTORS OF THE DIFFERENTIAL.
Σελίδα xii
... CHAPTER V. ON THE GENERAL DETERMINATION OF THE INTEGRATING FACTORS OF THE EQUATION Mdx + Ndy = 0 Partial differential equation for integrating factors , 69. Solution when the integrating factor is a function of x , 70 - of y , 71 — of ...
... CHAPTER V. ON THE GENERAL DETERMINATION OF THE INTEGRATING FACTORS OF THE EQUATION Mdx + Ndy = 0 Partial differential equation for integrating factors , 69. Solution when the integrating factor is a function of x , 70 - of y , 71 — of ...
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2ndly algebraic arbitrary constants arbitrary function assume C₁ C₂ Chap Chapter complete primitive condition Crown 8vo curve deduce derived determined differential coefficients dp dp dp dq dp dy dt dt dv du dv dv dv dx dx dx dy dy dx dz dx² dy dx dy dz dz dx dz dy dz dz Edition eliminating equa exact differential expressed fcap finite given equation Hence homogeneous functions independent variable integrating factor involving method Mx+Ny obtained ordinary differential equations P₁ partial differential equation particular integral pdx+qdy primitive equation reduced relation represent respect result satisfied second member second order Shew shewn singular solution substituting suppose theorem tion transformation whence X₁ y₁