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August 15th, 2007, 12:53 PM   #1
Joined: Aug 2007

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Please help me to solve this simple equation

Hello Every one:
I have the following equation
f(t) = X/(1-e^(-t/Y))
where X and Y are unknown, and e^z stand for exponential of z (e power
I know two points of this function. Lets says f(t1) = s1, and f(t2) =
s2; where t1 and t2 are not zeros value.

So we got two equations:
s1 = X/(1-e^(-t1/Y))
s2 = X/(1-e^(-t2/Y))

Two equations and two unknowns, we should be able to resolve these
equations analytically, but I don't know how....
I should be fairly simple, but I am lost.
Thanks for your help.
Samantha is offline  
August 15th, 2007, 04:21 PM   #2
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It looks fairly difficult. The first step is easy. The ratio s1/s2 gets rid of X, so you have one equation for Y, but it looks pretty difficult after that.
mathman is offline  
August 15th, 2007, 07:45 PM   #3
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It can't be done after that unless t1/t2 or t2/t1 is a small, simple value, such as 2 or 3.
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