Observe the differential equation (dp/dt)=0.5s p(1-p).a) use spearation of variables and partial fractions to solve the equation, assuming p(0)=p0b) show that if p0 does not equal 0, then the limit as t goes to infinity for p(t)=1c) suppose p0=0.1 and s=0.01. How long until p(t)=0.5?

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Answered: Observe the differential equation…

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Observe the differential equation (dp/dt)=0.5s p(1-p).

a) use spearation of variables and partial fractions to solve the equation, assuming p(0)=p₀

b) show that if p₀does not equal 0, then the limit as t goes to infinity for p(t)=1

c) suppose p_{0=0.1 and s=0.01. How long until p(t)=0.5?}

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Observe the differential equation (dp/dt)=0.5s p(1-p). a) use spearation of variables and partial fractions to solve the equation, assuming p(0)=p0 b) show that if p0 does not equal 0, then the limit as t goes to infinity for p(t)=1 c) suppose p0=0.1 and s=0.01. How long until p(t)=0.5?