*+4x -x = 0 system is given. a) Is this system conservative? Construct an energy function so that E(0,0)= 0. b) Find and classify all equilibrium points of the equivalent first-order system. Give reasons. c) Sketch the phase portrait of the system. Show all 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.