This is about dropping a spherical object from 6m high and creating and solving a mathematical model that includes drag.

What i've done so far is.

Got that the force of drag is this

Drawn a free body diagram showin gravity acting downwards[+ve] and drag opposing this[-ve]

Then using F=ma

(ignored the vector as im working in 1D [V hat])

Then i changed

by removing

to create the constant

To get

then using

i get

now i'm trying to rearrange this to get my differential eqn this is where i get stuck

from the above im doing this

now what do i do?