say a ball falling through shampoo had a drag force of F=6.5v(adsbygoogle = window.adsbygoogle || []).push({});

the differential equation for the objects motion is:

mdv/dt=6.5v

to solve it, I get all of the v value on one side and integrate them:

dv/v=(6.5/m)(dt)

integral[dv/v]=integral[(6.5/m)(dt)]

I know that integral[(6.5/m)(dt)] becomes 6.5t/m+c, but what will happen to the dv/v?

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# Integral question

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