A Treatise on Differential Equations, Τόμος 1Macmillan, 1872 - 85 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 39.
Σελίδα vi
... exist large and very important classes of differential equations the solution of which depends on some process of successive reduction . Now such reduction seems to have been effected at first by a repeated change of variables ...
... exist large and very important classes of differential equations the solution of which depends on some process of successive reduction . Now such reduction seems to have been effected at first by a repeated change of variables ...
Σελίδα viii
... exist in things , so no skill in the use of those aids to thought which language furnishes can relieve us from the necessity of a prior and more direct study of the things which are the subjects of our reasonings . And the more exact ...
... exist in things , so no skill in the use of those aids to thought which language furnishes can relieve us from the necessity of a prior and more direct study of the things which are the subjects of our reasonings . And the more exact ...
Σελίδα xii
... exist , 56. General form of integrating factors , 57. Special determinations for homogeneous equations and for equations of the form F ( xy ) ydx + F , ( xy ) xdy = 0 , 59—62 . Exercises , 67 . PAGE 55 CHAPTER V. ON THE GENERAL ...
... exist , 56. General form of integrating factors , 57. Special determinations for homogeneous equations and for equations of the form F ( xy ) ydx + F , ( xy ) xdy = 0 , 59—62 . Exercises , 67 . PAGE 55 CHAPTER V. ON THE GENERAL ...
Σελίδα 3
... y dy The present chapter will be chiefly devoted to the con- sideration of that class of ordinary differential equations in which there exists a single independent variable x , a 1-2 ART . 2. ] OF DIFFERENTIAL EQUATIONS .
... y dy The present chapter will be chiefly devoted to the con- sideration of that class of ordinary differential equations in which there exists a single independent variable x , a 1-2 ART . 2. ] OF DIFFERENTIAL EQUATIONS .
Σελίδα 4
George Boole. which there exists a single independent variable x , a single dependent variable y , and one or more of the differential coefficients of y taken with respect to x ; the presence of the last element only , viz . the ...
George Boole. which there exists a single independent variable x , a single dependent variable y , and one or more of the differential coefficients of y taken with respect to x ; the presence of the last element only , viz . the ...
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