Ap Calculus

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Ok, I've been doing BC review tests to prepare for the AP exam. I came across this free response problem and I have no idea how to do it, can someone please help me with this?

It gives the differential equations:
dP/dt = .03P(30-P)

and it asks "Find the general solution to the differential equation".

The answer is P(t)= 30Ce^0.9t/(1+Ce^c.9t)

Any help is greatly appreciated, thank you!

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