A small lake is stocked with a certain species of fish. The fish population is modeled by the function 15 P = 1+ 7e-0.5t where P is the number of fish in thousands and t is measured in years since the lake was stocked. (a) Find the fish population after 4 years. (b) After how many years will the fish population reach 5000 fish?

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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.