Falling Body with Air Resist
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Ftotal = Fgrav - Fair
ma = mg - kv where k units are kg/sec
mdv/dt = mg - kv
put into standard order:
mdv/dt + kv = mg
dv/dt + vk/m = g
find u = e∫k/mdt = ekt/m
multiply by u:
ekt/mdv/dt + ekt/mvk/m = gekt/m
d/ds(sekt/m) = gekt/m