A population P obeys the logistic model. It satisfies the equation

dP/dt=(3/700)P(7−P) for P0

(a)The population is increasing when P=

(b) The population is decreasing when P=

(c) Assume that P(0)=3 Find P(60)
P(60)=

Question

A population P obeys the logistic model. It satisfies the equation 

dP/dt=(3/700)P(7−P) for P>0

(a)The population is increasing when P=

(b) The population is decreasing when P=

(c) Assume that P(0)=3 Find P(60)
P(60)=

anonymous · Answer

breaking it up i would assume that it comes out to this if im not mistaken$$\int\limits \frac{ 700 }{ 3[P(7-P)] }dP=\int\limits 1dt$$

anonymous · Answer

Yes you are right sjerman

anonymous · Answer

what would i do for integrating that, should i expand the denominator first then try for u-sub or integration by parts? maybe just quotient rule?

anonymous · Answer

you have to do partial fraction decomposition and then integrate it  , that makes it very simple

anonymous · Answer

do u know how to do partial fraction decomposition?

anonymous · Answer

|dw:1363877637661:dw|