1. ## Diff EQ check

Hi all,

I'm wondering if someone could see if I did this diff eq correctly:

dv/dt = A - Bv

1. dv/dt + Bv = A

2. Then I used an integrating factor to come up with:

d/dt(v * exp(Bt)) = A*exp(Bt)

3. v*exp(Bt) = AB*exp(Bt)

4. v = AB

Is this correct? Thanks,

Kim

2. you did not integrate the right side correctly ... you also forgot the constant of integration

$ve^{Bt} = \frac{A}{B}e^{Bt} + C$

$v = \frac{A}{B} + Ce^{-Bt}$