5. a. Find the equilibria value(s) for the differential equation = y(y – 10)(25 – y) = g(y). b. Sketch a graph of g(y) and make a vector field plot for this differential equation. Using this plot, decide which equilibrium values are stable or not stable. c. Sketch possible solutions for y(t) based on your plot. Y(t)

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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.