DE Word Problem Help - please

  • Thread starter aatkins09
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  • #1
aatkins09
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A new technology is introduced into a community of 5000 individuals. If the rate dN/dx at which the technology spreads through the community is JOINTLY PROPORTIONAL to the number of people who use the technology AND the number of people who do not use it,
(1)WRITE A DIFFERENTIAL EQUATION FOR THE NUMBER OF PEOPLE, N(x) WHO USE THE TECHNOLOGY.

(2)SOLVE FOR THE GENERAL SOLUTION TO THE DE BY ANY METHOD.

iF SOMEONE CAN HELP WITH THE EQUATION PART THEN I CAN SOLVE IT, I JUST HAVE NOOOOOO IDEA HOW TO GET THE EQUATION.

all I can think of is
dN/dx=N(x)
but there has to be more to it.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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welcome to pf!

hi aatkins09! welcome to pf! :smile:
A new technology is introduced into a community of 5000 individuals. If the rate dN/dx at which the technology spreads through the community is JOINTLY PROPORTIONAL to the number of people who use the technology AND the number of people who do not use it,

all I can think of is
dN/dx=N(x)
but there has to be more to it.

i don't see a "500" in there :confused:

it's really very simple, all you need to is to translate the english into maths :smile:

ok, try translating into maths:
i] "the number of people who use the technology"
ii] "the number of people who do not use it" :wink:
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
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Do you understand what jointly proportional means?
 

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