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anonymous
 5 years ago
can anyone help me find the analytical soln to dQ/dt = K(AQ)
anonymous
 5 years ago
can anyone help me find the analytical soln to dQ/dt = K(AQ)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is a separable ordinary differential equation. \[\frac{dQ}{dt}=K(AQ) \rightarrow \frac{dQ}{AQ}=K{dt}\]Then integrating,\[\int\limits_{}{}\frac{dQ}{AQ}=\int\limits_{}{}Kdt \rightarrow \ln{(AQ)}=Kt+C\]where C is a constant. Then,\[AQ=e^{Kt}e^C=Be^{Kt}\]where B is just the constant e^C. So,\[Q=ABe^{Kt}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you very much. this make it alot clearer. :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No worries. Feel free to 'fan' me =)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No problems, but how do i star you? sorry im new to this.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think there should be something like, "become a fan" next to my name...and I think you just saw it 'cause my 20 turned to 21.
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