IJPAM: Volume 20, No. 2 (2005)

A CLASSIFICATION OF SECOND ORDER
ORDINARY DIFFERENTIAL EQUATIONS

A.A. Taani
Department of Mathematics
Mu'tah University
P.O. Box 7, Mu'tah/Al-Karau, Karak, Code No. 61710, JORDAN
e-mail: alitaani@yahoo.com


Abstract.In this paper, a solution of the ordinary second-order differential equation of the form $\ddot{x}+(q_{1}(t)+q_{2}(t))x=0$ is found, in terms of a solution of the simpler ordinary differential equation $\ddot{x}+q_{1}(t)x=0$. Several forms of the first equation are generated through a suggested procedure. It is observed that their solutions have some value in mathematical physics and engineering applications see Takayama $[3]$, Arfken $[1]$, and Laham $[2]$.

Received: March 20, 2005

AMS Subject Classification: 34B15, 34C17, 34A10

Key Words and Phrases: second-order ordinary differential equations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 20
Issue: 2