A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 sider |
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Side 9
... language all that he left on an in- teresting and important point which he had carefully studied . 2. It may be of service to the student to reproduce the substance of some remarks on his Chapter VIII . which were sent to Professor ...
... language all that he left on an in- teresting and important point which he had carefully studied . 2. It may be of service to the student to reproduce the substance of some remarks on his Chapter VIII . which were sent to Professor ...
Side 17
... language already used , c is a dependent constant , or in some other way different from the constant of an ordinary particular primitive . Let us examine in particular instances the kind of singularity which may hence arise . х Ex . 1 ...
... language already used , c is a dependent constant , or in some other way different from the constant of an ordinary particular primitive . Let us examine in particular instances the kind of singularity which may hence arise . х Ex . 1 ...
Side 38
... language of determinants . I shall exemplify this here . Suppose the given equation to be dn - 2y dxn + A , dry dr - 1y 1 daπ - 1 + A2 dx2 - 2 · ..... + A = X ......... ( 1 ) , and let y1 , y ... y , be r particular values of y ...
... language of determinants . I shall exemplify this here . Suppose the given equation to be dn - 2y dxn + A , dry dr - 1y 1 daπ - 1 + A2 dx2 - 2 · ..... + A = X ......... ( 1 ) , and let y1 , y ... y , be r particular values of y ...
Side 49
... language we might term the complete primi- tive a singular solution of the order 0 . Lastly , any relation between x and y , which satisfies the given differential equation , will constitute a particular case , either of the complete ...
... language we might term the complete primi- tive a singular solution of the order 0 . Lastly , any relation between x and y , which satisfies the given differential equation , will constitute a particular case , either of the complete ...
Side 95
... language in which he refers to the condition shews that he had speculated upon the general problem - and it is difficult to conceive that he should have meditated upon it and not arrived at its complete solution . [ The manuscript here ...
... language in which he refers to the condition shews that he had speculated upon the general problem - and it is difficult to conceive that he should have meditated upon it and not arrived at its complete solution . [ The manuscript here ...
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A Treatise on Differential Equations: Supplementary Volume George Boole Uten tilgangsbegrensning - 1865 |
Vanlige uttrykk og setninger
Algebra arbitrary constants Calculus of Variations Cambridge Chap Chapter Christ's College cloth College complete primitive condition Conic Sections contains Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dp dFdF differential coefficients dp dF dp dp dx dp dq dp dy dq dp du₂ dx dx dx dy dx₁ dx² dy dp dy dx dy dy dy dz dz dy dz dz eliminate English equa expression Extra fcap factor fcap function Geometry given equation Grammar Hence homogeneous function Last Multiplier Latin linear partial differential m₁ Mathematical method ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole proposition reduced relation represent result Schools Second Edition singular solution theorem theory tion transformation Trigonometry u₁ values vanish x₁ Y₁ аф
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