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Osler, T. J.; Chandrupatla, T. R. – International Journal of Mathematical Education in Science & Technology, 2006
The analysis of tautochrone problems involves the solution of integral equations. The paper shows how a reasonable assumption, based on experience with simple harmonic motion, allows one to greatly simplify such problems. Proposed solutions involve only mathematics available to students from first year calculus.
Descriptors: Motion, Calculus, Physics, Equations (Mathematics)