Students and teachers of mathematical specialties

From differential equations to difference equations

U. Goginava, F. M. Mukhamedov

United Arab Emirates University, Al-ain

Abstract: The most popular, widely used method in regards to solving first order linear equations is through induction. However there are similar techniques that can be employed to obtain a general solution without the use of mathematical induction. Also, general solutions can be provided by borrowing a method based on the characteristic equation for second order linear difference equations of the Euler-Cauchy type. These differential equations are an important aspect of learning as they provide a fundamental foundation of tools and intuition that lead to partial differential equations which are used to describe phenomena in natural sciences.

UDC: 517.962 517.92