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The equivalent of FindRoot for an interpolating function


Hi Folks,

I wish to find the value of the independent variable in an 
interpolating function that makes the dependent variable assume some 
value of interest.  For example,

sol = NDSolve[{y'[t] == 1-y[t], y[0]==0}, y, {t, 0, 20}] 
fy = y/.sol[[1]]

produces an interpolating function.  I would like to extract the 
value of t that yields a value of 0.99 or 0.9999 (say) for y.  Is 
there a straightforward way of doing this?

Thanks in advance for the help.

Regards,

Phil
-- 
Philip M. Howe
Program Manager, Stockpile Surety
Los Alamos National Laboratory

(505) 665-5332
(505) 667-9498
Fax: 505-665-5249
email pmhowe at lanl.gov
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