[roxie321]

Hi everyone,
with consecutive elementary reactions A -->I--->P
I'm having trouble integrating from d[ I]/dt = k1[A]₀exp(-k1t) - k2[ I]
to
[ I] = (k1/(k2-k1))(exp(-k1t)-exp(-k2t))[A]₀

If that wasnt clear then http://staff.um.edu.mt/jgri1/teaching/che2372/notes/08/01/elementary_rxns.html
shows the equations nicely. If anyone could help it would be greatly appreciated.

[Yggdrasil]

If you have a 1st order linear differential equation that cannot be solved by separation of variables, you can use the integrating factor method:

http://en.wikipedia.org/wiki/Integrating_factor

Let us know if this helps.