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Differential Equations Third Order Inhomogeneous Linear with Boundary Conditions

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Differential Equations Third Order Inhomogeneous Linear with Boundary Conditions


Ghulam Hazrat Aimal Rasa



Ghulam Hazrat Aimal Rasa "Differential Equations Third Order Inhomogeneous Linear with Boundary Conditions" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-8 | Issue-1, February 2024, pp.630-635, URL: https://www.ijtsrd.com/papers/ijtsrd63458.pdf

Considering the importance of teaching linear differential equations, it can be said that every physical and technical phenomenon, which is expressed and modeled in mathematical sciences, is a differential equation. Differential equations are essential part of contemporary comparative mathematics that covers all fields of physics (heat, mechanics, atoms, electronics, magnetism, light and waves), many economic subjects, engineering subjects, natural problems, population growth and technical problems today. In this article, we will consider the theory of linear inhomogeneous differential equations of the third order with boundary conditions and the transformation of coefficients into multiple functions. In the field of differential equations, a boundary value problem with a set of additional constraints is called boundary value problem. The solution of this boundary value problem is actually a solution for the differential equation with the given constraints, which actually satisfies the conditions of the boundary value problem. Differential equation problems with boundary conditions are similar to initial value problems. A boundary value problem with conditions defined on the boundaries is an independent variable in the equation, while an initial value problem is defined as the same condition that has the value of the independent variable and this value is less than the limit, hence the term value is initial and the initial value is the amount of data that matches the minimum or maximum input, internal, or output value specified for a system or component. When the boundaries of the boundary values in the solution of obtaining the constants of the third order differential equation , and are determined, the failure to obtain the constants is called the boundary problem. We solve this problem by considering the given conditions for the real Green's function. Every real function is a solution of a set of linear differential equations, and the values of its boundary value depend on the intervals.

Green's function, boundary value problem, private solution, general solution


IJTSRD63458
Volume-8 | Issue-1, February 2024
630-635
IJTSRD | www.ijtsrd.com | E-ISSN 2456-6470
Copyright © 2019 by author(s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0)

International Journal of Trend in Scientific Research and Development - IJTSRD having online ISSN 2456-6470. IJTSRD is a leading Open Access, Peer-Reviewed International Journal which provides rapid publication of your research articles and aims to promote the theory and practice along with knowledge sharing between researchers, developers, engineers, students, and practitioners working in and around the world in many areas like Sciences, Technology, Innovation, Engineering, Agriculture, Management and many more and it is recommended by all Universities, review articles and short communications in all subjects. IJTSRD running an International Journal who are proving quality publication of peer reviewed and refereed international journals from diverse fields that emphasizes new research, development and their applications. IJTSRD provides an online access to exchange your research work, technical notes & surveying results among professionals throughout the world in e-journals. IJTSRD is a fastest growing and dynamic professional organization. The aim of this organization is to provide access not only to world class research resources, but through its professionals aim to bring in a significant transformation in the real of open access journals and online publishing.

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