Consider the system of differential equations x' = Ax where %3D A = and a is a real-valued constant. 2 -1 -2 -3 -4 -5 Give all values for a that could result in this system having a phase portrait of that type and with the indicated stability. Write your answer in interval form. If it is not possible, write "not possible" and give a short explanation why. Show all your work.

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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.