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Create the page "Functional Differential Equations" on this wiki! See also the search results found.
- recognized types of differential equations which can be solved by rule; and (2) the general theory. Part I.—Elementary Introduction. Of equations involving only...404 bytes (25,493 words) - 00:45, 8 May 2022
- between 0 and 1 and have the properties expressed by the equations Theorem of the Total Differential. f ( a + h , b + k ) − f ( a , b + k ) = h f z ( a +...944 bytes (5,771 words) - 19:31, 10 July 2024
- (G) gives Therefore the equations of the envelope satisfy the two equations (B) and (H), namely, that is, the parametric equations of the envelope may be...425 bytes (3,054 words) - 10:10, 27 November 2022
- Outlines of the Infinitesimal Calculus. 32. The general notions of functionality, limits and continuity are explained in the article Function. Illustrations...913 bytes (4,538 words) - 19:30, 10 July 2024
- by means of any functional equation given, instead of discovering, as in the direct method, the value of a quantity from an equation in which the function...563 bytes (271 words) - 00:10, 28 September 2018
- discoveries. Second in importance only to these are his researches in differential equations, notably the theory of the last multiplier, which is fully treated...351 bytes (422 words) - 05:30, 16 November 2021
- further treatment of these functional equations, viz., the derivation of the well-known fundamental differential equations, assumes necessarily the continuity...107 KB (18,217 words) - 16:36, 27 January 2022
- dimensions possesses the analogous property in connection with the two differential equations which are fundamental in the wave theory of light. This has been...731 bytes (4,257 words) - 13:01, 27 November 2022
- Elements of the Differential and Integral Calculus by William Anthony Granville Chapter VI, § 64–66 73344Elements of the Differential and Integral Calculus...29 KB (4,774 words) - 10:09, 27 November 2022
- {\displaystyle {\frac {dy}{dx}}} . If the equation of the curve is of the form y=ƒ(x) where ƒ is a functional symbol (see Function), then Δ y Δ x = f (...798 bytes (4,024 words) - 19:29, 10 July 2024
- by a differential equation of the third order, and also by an algebraic equation, called by him "modular equation." The notion of modular equations was...356 bytes (5,141 words) - 10:57, 12 April 2014
- the square of the abscissa. Such problems are now classed under “differential equations.” When Barrow wrote, quadratures were familiar and differentiation...779 bytes (4,700 words) - 19:29, 10 July 2024
- must also vanish. So that we put for all values of r. These equations with the equations u1 = 0, . . ., um = 0 are exactly enough to determine λ1, . ...360 bytes (2,761 words) - 00:36, 5 February 2021
- Elements of the Differential and Integral Calculus by William Anthony Granville Chapter II 66647Elements of the Differential and Integral Calculus — Chapter...391 bytes (2,138 words) - 00:25, 30 July 2015
- These equations will hold for any forces whatever. If the forces are conservative, in other words, if the expression (1) is an exact differential, we may...581 bytes (5,337 words) - 10:07, 27 November 2022
- Fourier’s series, the differential equations of applied mathematics, Dirichlet’s problem; “Difference Equations and Functional Equations,” with the topics...419 bytes (7,629 words) - 04:32, 2 February 2021
- barycentrically equivalent to the latter. Such equations, of which each represents four ordinary equations, may evidently be multiplied or divided by scalars...523 bytes (12,062 words) - 14:40, 26 October 2015
- q from the three equations we obtain the equation in the co-ordinates x, y, z. We have for the geodetic lines a differential equation of the second order...409 bytes (13,388 words) - 13:05, 23 July 2023
- Methods of obtaining such expansions for the solutions of linear differential equations of the second order were investigated by G. G. Stokes (Math. and...423 bytes (51,196 words) - 10:49, 22 September 2019
- 61) and the functional treatment of equations (§ 60). As regards the latter, there are two classes of cases. In the first class come equations in a single...603 bytes (30,252 words) - 22:59, 21 March 2021