Consider the differential equation = 5 - y. In a coordinate system with window [-3,11] by [-4,10], like the one shown below, sketch the slope field for this differential equation and sketch the 5 trajectories that satisfy dt y(0) = 6, y(0) = 5, y(0) = 4, y(0) = 2, and y(0) = 0. %3D %3D %3D

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A: Cauchy differential equation

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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.