Extraneous
发表于 2025-3-21 19:09:21
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NOVA
发表于 2025-3-21 20:47:53
Ordinary Differential Equations, the main subject matter of the first part of this book, the difference between the case when a variable is missing in the right hand side and the general case should be noted: .. In the general case the complete integration is represented by all the integral curves in the (x,y) plane, one curve pas
nascent
发表于 2025-3-22 00:41:27
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covert
发表于 2025-3-22 05:12:57
Partial Differential Equations,particular (similarity) solutions and not to the “general” solution of a given partial differential equation. Thus boundary conditions play an important role in the applications of Lie theory to partial differential equations.
dapper
发表于 2025-3-22 09:31:36
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Pelago
发表于 2025-3-22 16:50:28
Ordinary Differential Equations,eral case should be noted: .. In the general case the complete integration is represented by all the integral curves in the (x,y) plane, one curve passing through each nonsingular point (Fig. 1.0–1) according to the local direction field at each point P; these form ∞. (number of) curves.. Their construction demands in general ∞. integrations.
珠宝
发表于 2025-3-22 17:33:07
Book 1974equations under transformations. In particular, Lie introduced the study of continuous groups of transformations of ordinary differential equations, based on the infinitesimal properties of the group. In a sense the theory was completely successful. It was shown how for a first-order differential eq
Airtight
发表于 2025-3-22 21:59:56
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arcane
发表于 2025-3-23 01:34:48
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不能根除
发表于 2025-3-23 05:40:38
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