2 1.5 dx dt -1,5 -1 3 with x(0) = -2 Give your solution in real form. [Note-- you may want to view a phase plane plot (right click to open in a new window).] If y' = Ay is a differential equation, how would the solution curves behave? OA. All of the solutions curves would converge towards 0. (Stable node) OB. The solution curves would race towards zero and then veer away towards infinity. (Saddle) OC. The solution curves converge to different points. OD. All of the solution curves would run away from 0. (Unstable node)

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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.