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Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2004
Two heuristic and three rigorous arguments are given for the fact that functions of the form Ce[kx], with C an arbitrary constant, are the only solutions of the equation dy/dx=ky 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…
Descriptors: Calculus, Classroom Techniques, Teaching Methods, Mathematics Instruction