What is the limiting value of P as t->infinity(adsbygoogle = window.adsbygoogle || []).push({});

dp/dt=0.4P(10-P)

My attempt at the solution was to serperate the function and get each side in terms of one variable

dp/(P(10-P)) = 0.4/dt

[-ln(|p-10|/|p|)]/10=0.4t

-ln(|p-10|/|p|)=4t

take e^ of both sides of equation

(p-10/p)=e^4t and we know that the equation is undefined on the left when the p=10 therefore there is some type of discontinuity. is this correct?

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# Slope fields

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