### Solution of Lagrange’s Linear Differential Equation Using Matlab

Received: 7 July 2020    Accepted: 14 August 2020    Published: 16 September 2020
Abstract

MATLAB, which stands for Matrix Laboratory, is a software package developed by Math Works, Inc. to facilitate numerical computations as well as some symbolic manipulation. It strikes us as being slightly more difficult to begin working with it than such packages as Maple, Mathematica, and Macsyma, though once you get comfortable with it, it offers greater flexibility. The main point of using it is that it is currently the package you will most likely found yourself working with if you get a job in engineering or industrial mathematics. So we found that the Matlab method in differential equations is very important and useful mathematical tools which help us to solve and plot differential equations. The aims of this paper is to solve Lagrange’s Linear differential equations and compare between manual and Matlab solution such that the Matlab solution is one of the most famous mathematical programs in solving mathematical problems. We followed the applied mathematical method using Matlab and we compared between the two solutions whence accuracy and speed. Also we explained that the solution of Matlab is more accuracy and speed than the manual solution which proves the aptitude the usage of Matlab in different mathematical methods.

Keywords

Solution, Lagrange, Linear Differential Equation, Matlab

References
 [1] A. K. Sharma, Advanced differential equations, Discovery Publishing Hovse, New Delhi-110002, 2004, 2010. [2] Denneis G. zill, Differential Equations with Boundary- Value Problem, Seventh Edition, Brooks/ Cole, CENGAGE Learning, Australia, Korea, 2009, 2005. [3] Dynamics and Vibrations, Matlab tutorial, A. F. Bower, School of Engineering, Brown University, December 2011. [4] First-order, Differential equations, 1856- 1927. [5] Gelenn Ledder, Differential equations: modeling Approach, Higher. [6] Education, San Francisco, 2005. [7] Jaywanchung, Differential equations in Matlab, January 12, 2012. [8] Joel Feldman. 2012, All rights reserved, October 22, 2012. [9] Murray R. spiegel, Applied Differential equations, Second Edition, Prentice-Hall, Inc, Engle wood, 1958, 1967. [10] Pual Dawkins, Differential equations, 2018. [11] P. H oward, Solving ODE in Matlab, Fall. 2007. [12] P. H oward, Matlab 7.0 Basics, Spring 2005. [13] P. Howard, ordinary differential equation in Matlab, full, 2003.
• APA Style

Abdel Radi Abdel Rahman Abdel Gadir, Neama Yahia Mohammed, Marwa Eltayb Abu Elgasim Msis. (2020). Solution of Lagrange’s Linear Differential Equation Using Matlab. International Journal of Applied Mathematics and Theoretical Physics, 6(3), 49-53. https://doi.org/10.11648/j.ijamtp.20200603.13

ACS Style

Abdel Radi Abdel Rahman Abdel Gadir; Neama Yahia Mohammed; Marwa Eltayb Abu Elgasim Msis. Solution of Lagrange’s Linear Differential Equation Using Matlab. Int. J. Appl. Math. Theor. Phys. 2020, 6(3), 49-53. doi: 10.11648/j.ijamtp.20200603.13

AMA Style

Abdel Radi Abdel Rahman Abdel Gadir, Neama Yahia Mohammed, Marwa Eltayb Abu Elgasim Msis. Solution of Lagrange’s Linear Differential Equation Using Matlab. Int J Appl Math Theor Phys. 2020;6(3):49-53. doi: 10.11648/j.ijamtp.20200603.13

• ```@article{10.11648/j.ijamtp.20200603.13,
author = {Abdel Radi Abdel Rahman Abdel Gadir and Neama Yahia Mohammed and Marwa Eltayb Abu Elgasim Msis},
title = {Solution of Lagrange’s Linear Differential Equation Using Matlab},
journal = {International Journal of Applied Mathematics and Theoretical Physics},
volume = {6},
number = {3},
pages = {49-53},
doi = {10.11648/j.ijamtp.20200603.13},
url = {https://doi.org/10.11648/j.ijamtp.20200603.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20200603.13},
abstract = {MATLAB, which stands for Matrix Laboratory, is a software package developed by Math Works, Inc. to facilitate numerical computations as well as some symbolic manipulation. It strikes us as being slightly more difficult to begin working with it than such packages as Maple, Mathematica, and Macsyma, though once you get comfortable with it, it offers greater flexibility. The main point of using it is that it is currently the package you will most likely found yourself working with if you get a job in engineering or industrial mathematics. So we found that the Matlab method in differential equations is very important and useful mathematical tools which help us to solve and plot differential equations. The aims of this paper is to solve Lagrange’s Linear differential equations and compare between manual and Matlab solution such that the Matlab solution is one of the most famous mathematical programs in solving mathematical problems. We followed the applied mathematical method using Matlab and we compared between the two solutions whence accuracy and speed. Also we explained that the solution of Matlab is more accuracy and speed than the manual solution which proves the aptitude the usage of Matlab in different mathematical methods.},
year = {2020}
}
```
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T1  - Solution of Lagrange’s Linear Differential Equation Using Matlab
AU  - Neama Yahia Mohammed
AU  - Marwa Eltayb Abu Elgasim Msis
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PY  - 2020
N1  - https://doi.org/10.11648/j.ijamtp.20200603.13
DO  - 10.11648/j.ijamtp.20200603.13
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 49
EP  - 53
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20200603.13
AB  - MATLAB, which stands for Matrix Laboratory, is a software package developed by Math Works, Inc. to facilitate numerical computations as well as some symbolic manipulation. It strikes us as being slightly more difficult to begin working with it than such packages as Maple, Mathematica, and Macsyma, though once you get comfortable with it, it offers greater flexibility. The main point of using it is that it is currently the package you will most likely found yourself working with if you get a job in engineering or industrial mathematics. So we found that the Matlab method in differential equations is very important and useful mathematical tools which help us to solve and plot differential equations. The aims of this paper is to solve Lagrange’s Linear differential equations and compare between manual and Matlab solution such that the Matlab solution is one of the most famous mathematical programs in solving mathematical problems. We followed the applied mathematical method using Matlab and we compared between the two solutions whence accuracy and speed. Also we explained that the solution of Matlab is more accuracy and speed than the manual solution which proves the aptitude the usage of Matlab in different mathematical methods.
VL  - 6
IS  - 3
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Author Information
• Department of Mathematics, Faculty of Education, Omdurman Islamic University, Omdurman, Sudan

• Department of Mathematics, College of Science, Tabuk University, Tabuk, Saudi Arabia

• Researcher in Faculty of Post Graduate Studies, Omdurman Islamic University, Omdurman, Sudan

• Sections