IJIRST (International Journal for Innovative Research in Science & Technology)ISSN (online) : 2349-6010

 International Journal for Innovative Research in Science & Technology

Applications of Laplace Transformation for Solving Various Differential Equations with Variable Coefficients


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International Journal for Innovative Research in Science & Technology
Volume 4 Issue - 11
Year of Publication : 2018
Authors : Dr. Dinesh Verma

BibTeX:

@article{IJIRSTV4I11033,
     title={Applications of Laplace Transformation for Solving Various Differential Equations with Variable Coefficients},
     author={Dr. Dinesh Verma},
     journal={International Journal for Innovative Research in Science & Technology},
     volume={4},
     number={11},
     pages={124--127},
     year={},
     url={http://www.ijirst.org/articles/IJIRSTV4I11033.pdf},
     publisher={IJIRST (International Journal for Innovative Research in Science & Technology)},
}

Abstract:

Generally it has been noticed that differential equation is solved typically. The Laplace transformation makes it easy to solve. The Laplace transformation is applied in different areas of science, engineering and technology. The Laplace transformation is applicable in so many fields. Laplace transformation is used in solving the time domain function by converting it into frequency domain. Here we have applied Laplace transformation in linear ordinary differential equations with constant coefficient and several ordinary equations wherein the coefficients are variable. Laplace transformation makes it easier to solve the problems in engineering applications and makes differential equations simple to solve. This paper presents a new technological approach to solve Ordinary differential equation with variable coefficient.


Keywords:

Laplace transformation, Inverse Laplace transformation, Ordinary differential equation (ODE). Sub area: Laplace transformation Broad area: Mathematics
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