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

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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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Concept explainers

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.

Question

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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