A Treatise on Differential Equations. Supplementary VolumeMacmillan, 1865 - 235 sider |
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Side ix
... Transformations . Vol . 3 , 1843 , pages 1 ... 20 , 106 ... 119 . On the Transformation of Definite Integrals . Same Vol . , pages 216 ... 224 . Remarks on a Theorem of M. Catalan . Same Vol . , pages 277 ... 283 . On the Transformation ...
... Transformations . Vol . 3 , 1843 , pages 1 ... 20 , 106 ... 119 . On the Transformation of Definite Integrals . Same Vol . , pages 216 ... 224 . Remarks on a Theorem of M. Catalan . Same Vol . , pages 277 ... 283 . On the Transformation ...
Side 1
... transformation by which the equa- tion may be reduced to , ( because it may be constructed from ) , an equation in which the variables are separated . Assume as this equation and let ( Ay ' + C ) dx ' + ( A'x ' + C ' ) dy ' = 0 ...
... transformation by which the equa- tion may be reduced to , ( because it may be constructed from ) , an equation in which the variables are separated . Assume as this equation and let ( Ay ' + C ) dx ' + ( A'x ' + C ' ) dy ' = 0 ...
Side 24
... transformation will assume the form du dx = f ( x , ủ ) . Now this equation being satisfied by u = 0 and the first ... transformed differential equation the form du dx = Qua , a being a positive fraction , and Q not vanishing with u ...
... transformation will assume the form du dx = f ( x , ủ ) . Now this equation being satisfied by u = 0 and the first ... transformed differential equation the form du dx = Qua , a being a positive fraction , and Q not vanishing with u ...
Side 25
... transformation , but through the rejection of an algebraic factor ua from the transformed equation . It has been shewn in the treatment of Clairaut's equation , how in the ascent by differentiation to an equation of a higher order a ...
... transformation , but through the rejection of an algebraic factor ua from the transformed equation . It has been shewn in the treatment of Clairaut's equation , how in the ascent by differentiation to an equation of a higher order a ...
Side 26
... transformation which introduces u and x as variables becomes du dx = QU . Let ru du U = v , 0 so that is in general a function of x and u , the form of which is known by integration when that of U is given . And again , transform the ...
... transformation which introduces u and x as variables becomes du dx = QU . Let ru du U = v , 0 so that is in general a function of x and u , the form of which is known by integration when that of U is given . And again , transform 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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