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differential equations
Posted:
Sep 28, 2001 2:41 PM
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Although I'm not a professional mathematician, I'm frequently involved
in tutoring. I was asked by a student to find a curve in which the
area in square units between the curve and the X axis would be equal
to the length of said curve in linear units. The problem has a trivial
solution of y=1 or y=-1. It's also well known that the curve y=cosh x
describes such a curve.
A complete solution would of course be a solution to the differential
equation Y^2 = 1 + (dy/dx)^2. How does one solve this equation?
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