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 August 15th, 2007, 12:53 PM #1 Newbie   Joined: Aug 2007 Posts: 4 Thanks: 0 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 z). 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)) and 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[/i]
 August 15th, 2007, 04:21 PM #2 Global Moderator   Joined: May 2007 Posts: 6,807 Thanks: 716 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.
 August 15th, 2007, 07:45 PM #3 Global Moderator   Joined: Dec 2006 Posts: 20,931 Thanks: 2205 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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