Solving first order ODE with initial conditions exactly using laplace transform On MATLAB

Sasni, M. I. S.; Raviraj, Y.

dc.contributor.author	Sasni, M. I. S.
dc.contributor.author	Raviraj, Y.
dc.date.accessioned	2025-05-27T06:37:14Z
dc.date.available	2025-05-27T06:37:14Z
dc.date.issued	2023-12
dc.identifier.citation	Journal of Science, Faculty of Applied Sciences, South Eastern University of Sri Lanka, Vol. 4, (No.2), December 2023, pp. 31-39.	en_US
dc.identifier.issn	2738-2184
dc.identifier.uri	http://ir.lib.seu.ac.lk/handle/123456789/7499
dc.description.abstract	The solution method for first-order ordinary differential equations (ODEs) with constant coefficients and initial conditions is presented in this study and is based on MATLAB. The suggested method depends on Laplace transforms to find exact results. The research introduces a special MATLAB function that is intended to precisely compute the exact solutions of certain ODEs while also offering other details like elapsed time and relevant figures. This method presents a systematic approach to handle these kinds of ODEs, solving the difficulties brought on by constant coefficients and initial conditions. It does this by using Laplace transformations. This method is expected to be used in disciplines like engineering and physics where second-order ODEs are frequent and exact solutions to them are important.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Faculty of Applied Sciences, South Eastern University of Sri Lanka, Sammanthurai.	en_US
dc.subject	Ordinary Differential Equations	en_US
dc.subject	Laplace Transforms	en_US
dc.subject	MATLAB	en_US
dc.title	Solving first order ODE with initial conditions exactly using laplace transform On MATLAB	en_US
dc.type	Article	en_US