Let y(t) represent the number of ripe berries on a bush at a given time t. New berries ripen on the bush at a rate proportional to the amount of ripe berries currently on the bush. Additionally, a farmer harvests ripe berries from the bush at a constant rate of b berries per day. Which differential equation below best models this situation? Select one: dy а. ky dt dy b. = k(y + b) dt dy С. dt = ky – b dy d. = k(y – b) dt dy е. dt = ky – bt

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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.