A Treatise on Differential Equations, Volum 1Macmillan, 1872 - 85 sider |
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Resultat 1-5 av 31
Side 2
... independent variable æ , it is ax proposed to determine the most general relation between y and x . Expressing the ... variables . All these including ( 1 ) are examples of differential equations . The essential character consists in the ...
... independent variable æ , it is ax proposed to determine the most general relation between y and x . Expressing the ... variables . All these including ( 1 ) are examples of differential equations . The essential character consists in the ...
Side 3
... independent variable . 2ndly . Partial differential equations , characterized by the presence of partial differential coefficients , and therefore in- dicating the existence of two or more independent variables with respect to which ...
... independent variable . 2ndly . Partial differential equations , characterized by the presence of partial differential coefficients , and therefore in- dicating the existence of two or more independent variables with respect to which ...
Side 4
... independent variable x , the dependent variable dy dx and the differential coefficient are all involved ; but , dy while in the previous examples appears only in the first dx degree , in the present one it appears in the second degree ...
... independent variable x , the dependent variable dy dx and the differential coefficient are all involved ; but , dy while in the previous examples appears only in the first dx degree , in the present one it appears in the second degree ...
Side 6
... variable x only , the equation is said to be linear . Equa- tions ( 1 ) ... variable coefficients . The distinction is illustrated in the following examples : d3y d.c3 ... independent ; such reference being established through the medium of ...
... variable x only , the equation is said to be linear . Equa- tions ( 1 ) ... variable coefficients . The distinction is illustrated in the following examples : d3y d.c3 ... independent ; such reference being established through the medium of ...
Side 8
... variables which constitutes the general solution of a differential equation , as above described , is also termed its ... independent variable , we obtain a new equation which must involved , and which may involve dx ' any or all of the ...
... variables which constitutes the general solution of a differential equation , as above described , is also termed its ... independent variable , we obtain a new equation which must involved , and which may involve dx ' any or all of the ...
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A Treatise on Differential Equations: Supplementary Volume George Boole Uten tilgangsbegrensning - 1865 |
Vanlige uttrykk og setninger
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