Differential equations are explained along with the definition, degree, order of differential equations, types, formulas, methods to solve these equations, applications and examples here at BYJU'S.
One special type of differential equation, namely the \\(Bernoulli^{1.}\\) equation, was discussed in Chap. 4. [Compare, for instance, ( 4.19)–( 4.77).] Here, that analysis is extended to other special type equations.doi:10.1007/978-3-319-76406-1_6Raza Tahir-Kheli...
An equation that contains the derivative of an unknown function is called a differential equation. The rate of change of a function at a point is defined by the derivatives of the function. A differential equation relates these derivatives with the other functions. Differential equations are mainly...
摘要: By means of variable substitution method,this paper discusses some kinds of second order nonlinear differential equations and their integrality and gives the expression to general solutions.关键词: second order nonlinear differential equation variable substitution method gerenal solution ...
Continuous and Discrete Painlevé Equations Arising from the Gap Probability Distribution of the Finite n Gaussian Unitary Ensembles Adler and Van Moerbeke, and Forrester and Witte on this subject, it has been shown that two Painlevé type differential equations arise in this context... Man CaoYang...
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Differential calculusis the branch of mathematics concerned with finding the instantaneous rate of change of a function of a single variable. Given a function {eq}f(x) {/eq}, the instantaneous rate of change for any value of {eq}x {/eq} is determined by thederivativeof the function, whic...
We investigate nonlinear pseudodifferential equations with infinitely many derivatives. These are equations of a new class, and they originally appeared in... VS Vladimirov,YI Volovich - 《Theoretical & Mathematical Physics》 被引量: 191发表: 2004年 p-adic L-series at s = 0 the complex L-se...
An ordinary differential equation involves functions of one independent variable and their derivatives.Definition, Applications of ODE, Order of ODE, problems and solutions at BYJU’S.
A Bernstein property of certain types of fourth order partial differential equationsBernstein propertyNonlinear PDEs of fourth orderRelative maximal hypersurfacesQuadratic polynomialsWe prove a Bernstein theorem for a class of nonlinLin CaoLi Sheng