Functions and Analysis


Laws of General Solutions of Partial Differential Equations

Authors: Hong Lai Zhu

In this paper, four kinds of Z Transformations are proposed to get many laws of general solutions of mth-order linear and nonlinear partial differential equations with n variables. Some general solutions of first-order linear partial differential equations, which cannot be obtained by using the characteristic equation method, can be solved by the Z Transformations. By comparing, we find that the general solutions of some first-order partial differential equations got by the characteristic equation method are not complete.

Comments: 18 Pages.

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Submission history

[v1] 2017-10-03 21:20:37

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