# Math Help - dC/dt=(1/tau)(Cin - C )

1. ## dC/dt=(1/tau)(Cin - C )

The differential equa below and its solution.

Can somebody please show me how thiss solution to the DE has been made?

dC/dt=(1/tau)(Cin - C )

C= Cin (1-e^(-t/Tau) )

2. First of all, please make sure you use capitals and lowercase letters consistently... Is c the same as C? And is Cin a constant?

3. Sorry bout that,
I have fixed that now.

Yes Cin is a constant.

4. Originally Posted by heatly
The differential equa below and its solution.

Can somebody please show me how thiss solution to the DE has been made?

dC/dt=(1/tau)(Cin - C )

C= Cin (1-e^(-t/Tau) )
Step 1: $\displaystyle \frac{dt}{dC} = \frac{\tau}{C_{in} - C}$.

Remaining steps are yours. If you need more help, please show all your work and say where you get stuck.