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For the equation (dp/dt)=(P+2)(P^2-6P+5) find the equilibrium points and make a phase portrait of the differential...

For the equation (dp/dt)=(P+2)(P^2-6P+5) find the equilibrium points and make a phase portrait of the differential equation. Classify each equilibrium point as asymptotically stable, unstable or semi-stable. Sketch typical solution curves determined by the graphs of equilibrium solutions.

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Q: hon fm - (Pt2) (p= 6p+5) Given that the de (P+2) Cp26P+5) dt dp dt for equilibrium Points (P+2) (P26p+5) = 0 P+2=0 & P?6P+Note that ; the degåvative is positive when pr-2 Of OP at P=-2 late- = 21 do 8 the arrow above-2 to point upwards when -2<p<1-2 7 LO 70 of 70 OP of op So the arrow between 1705 hatto be upwards the equitiboeium points and make a phage poattait to ICP

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