Author： David E. Dobbs
Publisher： Taylor & Francis Ltd
ISSN： 1464-5211
Source： International Journal of Mathematical Education in Science and Technology, Vol.35, Iss.1, 2004-01, pp. : 153-158
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Abstract
Two heuristic and three rigorous arguments are given for the fact that functions of the form Cekx, with C an arbitrary constant, are the only solutions of the equation where k is constant. Various of the proofs in this self-contained note could find classroom use in a first-year calculus course, an introductory course on differential equations, a first course on functions of a real variable, or an advanced calculus course.
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