Differential Equation Help

I need help with this differential equation:



dvc = V(t) - vc
dt RC

Find the formula for the general solution of the RC circuit equation about if the voltage source is constant for all time. In other words, V(t) = K for all t. (Your solution will contain the three parameters, R, C, and K, along with a constant that depends on the initial condition.)


I know the answer I just don't know how to get there exactly

Trying to integrate the dt is where im getting stuck. Any help at all would be amazing! (this is due in the morning)

 

Well its not really showing up very well. The c in both vc's are supposed to be a subscript. And the V(t)-vc is supposed to be over RC and for some reason when I edit it puts it back where it is?? lol, perfect

 

Woops hang on. Paste error

My solution would be just expand it out. Once it's all on one side it's not so bad.