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Title: :  A Study of Mathematical Modelling Using Differential Equations
PaperId: :  14186
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 4 Issue 1 2018
DUI:    16.0415/IJARIIE-14186
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Sanjay Kumar RaiResearch Scholar of Sri Satya Sai University of Technology & Medical Sciences, Sehore, M.P., India.
Dr. BhupendraResearch Supervisor of Sri Satya Sai University of Technology & Medical Sciences, Sehore, M.P., India.

Abstract

MATHEMATICS
Differential Equation, Expression, Ordinary Equation, Homogeneous or Heterogeneous Equation.
In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly. Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of dynamical systems puts emphasis on qualitative analysis of systems described by differential equations, while many numerical methods have been developed to determine solutions. Differential equations can be divided into several types. Apart from describing the properties of the equation itself, these classes of differential equations can help inform the choice of approach to a solution. Commonly used distinctions include whether the equation is ordinary or partial, linear or non-linear, and homogeneous or heterogeneous. This list is far from exhaustive; there are many other properties and subclasses of differential equations which can be very useful in specific contexts.

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IJARIIE Sanjay Kumar Rai, and Dr. Bhupendra. "A Study of Mathematical Modelling Using Differential Equations" International Journal Of Advance Research And Innovative Ideas In Education Volume 4 Issue 1 2018 Page 1326-1335
MLA Sanjay Kumar Rai, and Dr. Bhupendra. "A Study of Mathematical Modelling Using Differential Equations." International Journal Of Advance Research And Innovative Ideas In Education 4.1(2018) : 1326-1335.
APA Sanjay Kumar Rai, & Dr. Bhupendra. (2018). A Study of Mathematical Modelling Using Differential Equations. International Journal Of Advance Research And Innovative Ideas In Education, 4(1), 1326-1335.
Chicago Sanjay Kumar Rai, and Dr. Bhupendra. "A Study of Mathematical Modelling Using Differential Equations." International Journal Of Advance Research And Innovative Ideas In Education 4, no. 1 (2018) : 1326-1335.
Oxford Sanjay Kumar Rai, and Dr. Bhupendra. 'A Study of Mathematical Modelling Using Differential Equations', International Journal Of Advance Research And Innovative Ideas In Education, vol. 4, no. 1, 2018, p. 1326-1335. Available from IJARIIE, https://ijariie.com/AdminUploadPdf/A_Study_of_Mathematical_Modelling_Using_Differential_Equations_ijariie14186.pdf (Accessed : ).
Harvard Sanjay Kumar Rai, and Dr. Bhupendra. (2018) 'A Study of Mathematical Modelling Using Differential Equations', International Journal Of Advance Research And Innovative Ideas In Education, 4(1), pp. 1326-1335IJARIIE [Online]. Available at: https://ijariie.com/AdminUploadPdf/A_Study_of_Mathematical_Modelling_Using_Differential_Equations_ijariie14186.pdf (Accessed : )
IEEE Sanjay Kumar Rai, and Dr. Bhupendra, "A Study of Mathematical Modelling Using Differential Equations," International Journal Of Advance Research And Innovative Ideas In Education, vol. 4, no. 1, pp. 1326-1335, Jan-Feb 2018. [Online]. Available: https://ijariie.com/AdminUploadPdf/A_Study_of_Mathematical_Modelling_Using_Differential_Equations_ijariie14186.pdf [Accessed : ].
Turabian Sanjay Kumar Rai, and Dr. Bhupendra. "A Study of Mathematical Modelling Using Differential Equations." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 4 number 1 ().
Vancouver Sanjay Kumar Rai, and Dr. Bhupendra. A Study of Mathematical Modelling Using Differential Equations. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2018 [Cited : ]; 4(1) : 1326-1335. Available from: https://ijariie.com/AdminUploadPdf/A_Study_of_Mathematical_Modelling_Using_Differential_Equations_ijariie14186.pdf
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