first order differential equation help

[kpoconno]

I have this problem with and equation that looks like
dv/dt = g - c/m * v
any help would be much appreciated.

 

[soroban]

Hello, kpoconno!

I have this equation: dv/dt = g - (c/m)v

First, I'd let c/m = a . . . so the equation is: .dv/dt .= .g - av

. . And we have: .dv/dt + av .= .g

. . Then use the integrating factor: .I .= .e^{(∫ a dt)} .= .e^at

Can you finish it now?