A Treatise on Differential Equations, Τόμος 1Macmillan, 1872 - 85 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 92.
Σελίδα v
... tion . It was my object , first of all , to meet the wants of those who had no previous acquaintance with the subject , but I also desired not quite to disappoint others who might seek for more advanced information . These distinct ...
... tion . It was my object , first of all , to meet the wants of those who had no previous acquaintance with the subject , but I also desired not quite to disappoint others who might seek for more advanced information . These distinct ...
Σελίδα xii
... tion by continued fractions , 96 , 97 . linear , 103. Euler's equation , 104 . 107. Exercises , 110 . CHAPTER VII . ON DIFFERENTIAL EQUATIONS OF THE FIRST ORDER , BUT NOT OF THE FIRST DEGREE Typical form , 113. Theory of its solution ...
... tion by continued fractions , 96 , 97 . linear , 103. Euler's equation , 104 . 107. Exercises , 110 . CHAPTER VII . ON DIFFERENTIAL EQUATIONS OF THE FIRST ORDER , BUT NOT OF THE FIRST DEGREE Typical form , 113. Theory of its solution ...
Σελίδα xiii
... tion of the singular solution from the complete primitive , 141 . General theorem , 148. Geometrical interpretation , 152. Deri- vation of the singular solution from the differential equation , 153 . More general definition of singular ...
... tion of the singular solution from the complete primitive , 141 . General theorem , 148. Geometrical interpretation , 152. Deri- vation of the singular solution from the differential equation , 153 . More general definition of singular ...
Σελίδα 1
... tion among the primitive variables , x , y , & c . which is sought . In that branch of the Integral Calculus with which the student B. D. E. Es 1 is supposed to be already familiar , the differential coefficient CHAPTER I OF THE NATURE ...
... tion among the primitive variables , x , y , & c . which is sought . In that branch of the Integral Calculus with which the student B. D. E. Es 1 is supposed to be already familiar , the differential coefficient CHAPTER I OF THE NATURE ...
Σελίδα 10
... tion containing x and y with an arbitrary constant c , we can by differentiation , and elimination ( if necessary ) of that con- stant , obtain the differential equation of the first order , of which the given equation constitutes the ...
... tion containing x and y with an arbitrary constant c , we can by differentiation , and elimination ( if necessary ) of that con- stant , obtain the differential equation of the first order , of which the given equation constitutes 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