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The motion of a body falling from rest in a resisting medium is described by the equation dv/dt=a-bv where a and b are constants. What is the velocity at any time t?
dv/(a-bv)=dt
Integrating both sides we get:
-ln(a-bv)/b=t
=>
v=(a-e-bt)/b
v = (a/b) (1-(e-bt))....just integrate it...
integrate it
you just need to integrate it
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