A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 sider |
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Resultat 1-5 av 30
Side 2
... Suppose too that when one of these constants k assumes a particular value κ , the function น reduces to a constant v . Then we have U - v k - K = C - v k - K Now the second member being a function of an arbitrary constant is equivalent ...
... Suppose too that when one of these constants k assumes a particular value κ , the function น reduces to a constant v . Then we have U - v k - K = C - v k - K Now the second member being a function of an arbitrary constant is equivalent ...
Side 15
... suppose m a positive constant Ex . Let greater than 1 . Here dp = ( m − 1 ) y " , 1 - dy · which becomes infinite when y = 0. As this involves y and satisfies the differential equation it is a singular solution . To confirm this ...
... suppose m a positive constant Ex . Let greater than 1 . Here dp = ( m − 1 ) y " , 1 - dy · which becomes infinite when y = 0. As this involves y and satisfies the differential equation it is a singular solution . To confirm this ...
Side 21
... suppose m a fractional quantity greater than 1 , and endeavour to 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 ...
... suppose m a fractional quantity greater than 1 , and endeavour to 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 ...
Side 38
... 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 , satisfying the Yr equation dry dr - 1y M - 2 ...... dx 2 dx - 2 ...
... 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 , satisfying the Yr equation dry dr - 1y M - 2 ...... dx 2 dx - 2 ...
Side 46
... Suppose the differential equation to be of the nth order , and let it when solved with respect to the highest differential coefficient of y be represented by Yn = ( X , Y , Y1 , Y2 , ... Yn − 1 ) . ( 1 ) , in which , for brevity , dy d ...
... Suppose the differential equation to be of the nth order , and let it when solved with respect to the highest differential coefficient of y be represented by Yn = ( X , Y , Y1 , Y2 , ... Yn − 1 ) . ( 1 ) , in which , for brevity , dy d ...
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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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