A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 sider |
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Resultat 1-5 av 41
Side 1
... deduce a system of relations equivalent to the following , viz .: The quantities m1 , m , are roots of the quadratic am2 − ( b + a ' ) m + b ' = 0 . - The quantities A , A ' , C , C ' are determined by the system of equations A + A ...
... deduce a system of relations equivalent to the following , viz .: The quantities m1 , m , are roots of the quadratic am2 − ( b + a ' ) m + b ' = 0 . - The quantities A , A ' , C , C ' are determined by the system of equations A + A ...
Side 8
... deducing what in reference to its source would then be termed a particular primitive , but to combine the re- sults of different determinations of c together , so as to obtain every form of solution which is implied either in the func ...
... deducing what in reference to its source would then be termed a particular primitive , but to combine the re- sults of different determinations of c together , so as to obtain every form of solution which is implied either in the func ...
Side 20
... deduced from the condition constructed so as to yield the same value of dp = ∞ is only dy dy as the given dx 9 differential equation does . If it be of the envelope species , the curve it represents has in general no continuous contact ...
... deduced from the condition constructed so as to yield the same value of dp = ∞ is only dy dy as the given dx 9 differential equation does . If it be of the envelope species , the curve it represents has in general no continuous contact ...
Side 21
... deduce the character of the solution with- out making use of the complete primitive . From the solution we have d'y d.x2 dy = 0 , = 0 , & c . ad inf . dx3 But from the differential equation 1 m - 2 dy = ( m − 1 ) y " dy = m ( m − 1 ) ...
... deduce the character of the solution with- out making use of the complete primitive . From the solution we have d'y d.x2 dy = 0 , = 0 , & c . ad inf . dx3 But from the differential equation 1 m - 2 dy = ( m − 1 ) y " dy = m ( m − 1 ) ...
Side 35
... deduced from the differential equation in its rational and integral expression , to assume the form . [ The demonstration is given in Chap . VIII . Art . 14. ] day This ambiguity of value of is evidently but an expres- dx2 sion of the ...
... deduced from the differential equation in its rational and integral expression , to assume the form . [ The demonstration is given in Chap . VIII . Art . 14. ] day This ambiguity of value of is evidently but an expres- dx2 sion of the ...
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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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