f(x) Consider the autonomous differential equation æ' f(x) with function f(x) that has the graph sketched below. -5 -4 -3 -2 -1 2 a. Find the three constant (equilibrium) solutions to this differential equation. b. Draw the phase portrait of the ODE. c. Indicate on the phase portrait the stability properties (stable/semi-stable/unstable) of the equilibrium solutions.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.