- #1
thomas49th
- 655
- 0
Homework Statement
[tex]\frac{dV}{dt} = 20 - kV[/tex]
By solving this show that
[tex]V = A + Be^{-kt}[/tex]
Homework Equations
Well I am guessing there is a ln coming into play somewhere during the intergration
if the diff the bottom = the top then you get a ln(bottom)
The Attempt at a Solution
seperate the variables
[tex]\int{\frac{1}{20-kV}dv} = \int{1dt}[/tex]
i don't know how to form the ln part out of the LHS, cus you can't just take a constant out here?
Thanks :)