ON THE DISTRIBUTION OF SOLUTIONS OF THE EQUATION $\lambda f(x)+f^{\prime}(x)=0$ OF $n$th DEGREE
Keywords:
equation, nth degree, distinct real roots, rational function, graph, number of points of intersection.DOI:
https://doi.org/10.17654/0973563122005Abstract
The purpose of this note is to give the distribution of solutions of the equation $\lambda f(x)+f^{\prime}(x)=0$ of $n$th degree when the equation $f(x)=0$ of $n$th degree has $n$ distinct real roots.
Received: April 13, 2022
Accepted: May 11, 2022
References
C. B. Allendoerfer and C. O. Oakley, Principles of Mathematics, 2nd ed., McGraw-Hill Book Company, Inc., 1963.
M. Nihei, On the distribution of zero points of the real-valued function Crux Mathematicorum 20(3) (1994), 61-64.
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