Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



differential equations
Posted:
Sep 28, 2001 2:41 PM


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?

HOW TO UNSUBSCRIBE
To UNSUBSCRIBE from the calcreform mailing list, send mail to:
majordomo@ams.org
with the following in the message body:
unsubscribe calcreform your_email_address
Information on the subject line is disregarded.



