Differential Operators Applied to Integration

Differential Operators Applied to Integration

Author(s): Kong-Ming Chong

The Two-Year College Mathematics Journal. Vol. 13, No. 2 (Mar., 1982), pp. 155-157.

Published by: Mathematical Association of America

Stable URL: http://www.jstor.org/stable/3026493

Tags: Higher-order equations and linear systems

Abstract. This article offers a much shortened method to finding a particular integral to linear differential equations with constant coefficients. The author makes wonderful use of operator notation to write fractions of d/dx simply as D. The author then defines an operator to be the derivative on a certain polynomial. The author goes on to evaluate certain integrals using the three well known, derivable formulas stated in the article. The use of differential operators in this article are brilliant and can be extremely time saving, but the author lost me multiple time during the long, drawn out examples that has very little explanation. For highly advanced mathematicians this might seem tedious, but it is greatly appreciated by students of mathematics as myself. Colton R. White, Stephen F. Austin State University, May 3, 2017.

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