5. Let P(t) represent the population of fish (in thousands) in a lake. Suppose that the rate of change of a population of fish in a lake is given by P (t)=-t3 +2t? +3t, 0st<4 years. (a) Use integration to determine the change in population after the four years. (b) Carefully graph P (t), 0

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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.