A populationofrats satisfies the DEdx /dtka?.=Initially there arex(0) = 2 rats, andtheir number isincreasing at the rateof dx/dt= 1 ratper month when thereare rx = 10 rats. a) The value of theconstant k isk = 1/100?b) The solution of thisis r(t) =initial value problem100 ?50-tlim x(t) = 0?c)t→50-

The general solution of a differential equation always contains a constant of integration. The…

Answered: A population x of rats satisfies the DE…

A population x of rats satisfies the DE dx /dt ka?. Initially there are x(0) = 2 rats, and their number is increasing at the rate of dx/dt = 1 rat per month when there are x = 10 rats.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

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ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

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Question

A population
of
rats satisfies the DE
dx /dt
ka?.
=
Initially there are
x(0) = 2 rats, and
their number is
increasing at the rate
of dx/dt
= 1 rat
per month when there
are r
x = 10 rats.

a) The value of the
constant k is
k = 1/100?
b) The solution of this
is r(t) =
initial value problem
100 ?
50-t
lim x(t) = 0?
c)
t→50-

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