A Treatise on Differential Equations, Τόμος 1Macmillan, 1872 - 85 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 40.
Σελίδα vi
... symbolical methods . I think it necessary to direct attention to instances like these , because the indications which they afford appear to me to have been , in some works of great ability , overlooked , and because I wish to explain my ...
... symbolical methods . I think it necessary to direct attention to instances like these , because the indications which they afford appear to me to have been , in some works of great ability , overlooked , and because I wish to explain my ...
Σελίδα vii
... symbolical methods , as applied to differential equations , lead . Generally speaking , these methods present the solution of the proposed equation as dependent upon the performance of certain inverse operations . I have endeavoured to ...
... symbolical methods , as applied to differential equations , lead . Generally speaking , these methods present the solution of the proposed equation as dependent upon the performance of certain inverse operations . I have endeavoured to ...
Σελίδα viii
... symbolical methods only in the latter 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 ...
... symbolical methods only in the latter 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 ...
Σελίδα xiv
... integrals , 366. General rule , 369. Miscellaneous theorems . Poisson's method , 375 . Duality , 376. Legendre's Transformation , 379. Exercises , 380 . 361 CHAPTER XVI . SYMBOLICAL METHODS Laws of direct expressions , xiv CONTENTS .
... integrals , 366. General rule , 369. Miscellaneous theorems . Poisson's method , 375 . Duality , 376. Legendre's Transformation , 379. Exercises , 380 . 361 CHAPTER XVI . SYMBOLICAL METHODS Laws of direct expressions , xiv CONTENTS .
Σελίδα xv
... SYMBOLICAL METHODS , CONTINUED Symbolical form of differential equations with variable coefficients , 412 . Finite solution , 415-436 . Reduction of binomial equations , 418 . Pfaff's equation , 430. Equations not binomial , 432 ...
... SYMBOLICAL METHODS , CONTINUED Symbolical form of differential equations with variable coefficients , 412 . Finite solution , 415-436 . Reduction of binomial equations , 418 . Pfaff's equation , 430. Equations not binomial , 432 ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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