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## Homework Statement

[tex]\frac{dV}{dt} = 20 - kV[/tex]

By solving this show that

[tex]V = A + Be^{-kt}[/tex]

## Homework Equations

Well im 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 dont know how to form the ln part out of the LHS, cus you cant just take a constant out here?

Thanks :)