ON THE EXACT SOLUTION ON A LINEAR DIFFERENTIAL EQUATION OF FIRST ORDER

Authors

  • Lazo A. Dimov Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Boro M. Piperevski Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Elena Hadzieva University of Information Science and Technology St. Paul The Apostle image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil14100051d

Keywords:

linear ordinary differential equation of first order, general solution, exact solution, pseudoeliptic integral

Abstract

We are considering the linear differential equation of first order
\[
f(x)y' - f'(x)y = f^3(x)R(x,t), \qquad t=\sqrt{a_4x^4+a_3x^3+a_2x^2+a_1x+a_0},
\]
where \(R(x,t)\) is a rational function. We are giving a condition for the equation to have exact solution and a method for finding the solution.

Downloads

Published

2014-01-01

Issue

Vol. 38 No. 1 (2014): 38 (LXIV) 1 (2014)

Section

Articles

License

Copyright (c) 2014 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
L. A. Dimov, B. M. Piperevski, and E. Hadzieva, “ON THE EXACT SOLUTION ON A LINEAR DIFFERENTIAL EQUATION OF FIRST ORDER”, Mat. Bilt., vol. 38, no. 1, pp. 51–56, Jan. 2014, doi: 10.37560/matbil14100051d.