hi, how yould you go about solving an equation like this?

$\displaystyle dv/dt=12.2 - kv$ ?? help very appreciated thanks!

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- May 13th 2010, 07:41 AMYehiasolving a differential equation.
hi, how yould you go about solving an equation like this?

$\displaystyle dv/dt=12.2 - kv$ ?? help very appreciated thanks! - May 13th 2010, 08:46 AMKrizalid
it's separable.

- May 13th 2010, 11:54 AMYehia
- May 13th 2010, 01:28 PMKrizalid
it is as long as "k" doesn't depend of "t."

- May 13th 2010, 01:32 PMYehia
- May 13th 2010, 01:34 PMskeeter
$\displaystyle \frac{dv}{12.2 - kv} = dt$

$\displaystyle \frac{-k}{12.2 - kv} \, dv = -k \, dt$

integrate both sides ... - May 13th 2010, 01:43 PMYehia
- May 13th 2010, 01:52 PMskeeter