A Treatise on Differential Equations, Volum 1Macmillan, 1872 - 85 sider |
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Side viii
... second order given in Chap . XV . With respect to the sources from which information has been drawn , it is proper to mention that , on questions re- lating to the theory of differential equations , my obligations are greatest to ...
... second order given in Chap . XV . With respect to the sources from which information has been drawn , it is proper to mention that , on questions re- lating to the theory of differential equations , my obligations are greatest to ...
Side ix
... second order , and , as has already been intimated , to symboli- cal methods . The demonstrations scattered through the work are also many of them new , at least in form . In recent years much light has been thrown on certain classes of ...
... second order , and , as has already been intimated , to symboli- cal methods . The demonstrations scattered through the work are also many of them new , at least in form . In recent years much light has been thrown on certain classes of ...
Side xiii
... ORDER HIGHER THAN THE FIRST · • • 187 Relation to complete primitive , 187. Solution by development , 189 . Linear equations , 192-199 . General rule when the second member is 0 , 200 . of parameters , ib . equations , 204 . cises , 207 ...
... ORDER HIGHER THAN THE FIRST · • • 187 Relation to complete primitive , 187. Solution by development , 189 . Linear equations , 192-199 . General rule when the second member is 0 , 200 . of parameters , ib . equations , 204 . cises , 207 ...
Side xiv
... order higher than the first , 289. Exercises , 291 . CHAPTER XIII . SIMULTANEOUS DIFFERENTIAL EQUATIONS . Meaning of ... SECOND ORDER The equation Rr + S8 + Tt = V , 361. Condition of its admitting a first integral of the form u = f ( v ) ...
... order higher than the first , 289. Exercises , 291 . CHAPTER XIII . SIMULTANEOUS DIFFERENTIAL EQUATIONS . Meaning of ... SECOND ORDER The equation Rr + S8 + Tt = V , 361. Condition of its admitting a first integral of the form u = f ( v ) ...
Side 4
... second degree and under a radical sign . In ( 5 ) we meet with the second differential coefficient in addition to the first differential d'y da2 coefficient dy and the independent ... degree according 4 [ CH . I. SPECIES , ORDER AND DEGREE .
... second degree and under a radical sign . In ( 5 ) we meet with the second differential coefficient in addition to the first differential d'y da2 coefficient dy and the independent ... degree according 4 [ CH . I. SPECIES , ORDER AND DEGREE .
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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