Thread: how to solve this DE

1. how to solve this DE

$
\int \frac m{mg - kv}~dv = \int ~dt
$

how do i prove that the acceleration undergoes exponential decay???

2. Originally Posted by razorfever
$
\int \frac m{mg - kv}~dv = \int ~dt
$
just integrate both sides and continue. on the left, you can do it by substitution. let $u = mg - kv$

note that $m$, $g$ and $k$ are constants

how do i prove that the acceleration undergoes exponential decay???
huh? please state the whole question