Question

A population x of rabbits on an island is modeled by x' = (1/1000)x^2, where the independent variable is time in months. At time t = 0, there are 40 rabbits on the island. a) Find the solution to the equation with the initial condition. b) How many rabbits are on the island in 1 month, 5 months, 10 months, 15 months (round to the nearest integer).

Name: a population x of rabbits on an island is modeled by x x 11000x2 where the independent variable is time in months at time t 0 there are 40 rabbits on the island a find the solution to the eq 46443
Uploaded: 2022-06-10T09:41:29-08:00
Duration: 4 min 30 s
Channel: Madhur L
Description: a population x of rabbits on an island is modeled by x x 11000x2 where the independent variable is time in months at time t 0 there are 40 rabbits on the island a find the solution to the eq 46443

          A population x of rabbits on an island is modeled by x' = (1/1000)x^2, where the independent variable is time in months. At time t = 0, there are 40 rabbits on the island.
a) Find the solution to the equation with the initial condition.
b) How many rabbits are on the island in 1 month, 5 months, 10 months, 15 months (round to the nearest integer).

Added by Kenneth R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/10/2022

Step 1

Step 1: Given the differential equation \( x' = \frac{1}{1000} x^2 \), we need to solve for \( x(t) \) with the initial condition \( x(0) = 40 \). Show more…

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A population x of rabbits on an island is modeled by x' = (1/1000)x^2, where the independent variable is time in months. At time t = 0, there are 40 rabbits on the island. a) Find the solution to the equation with the initial condition. b) How many rabbits are on the island in 1 month, 5 months, 10 months, 15 months (round to the nearest integer).