First oder differential equation.

  • Thread starter Zubz
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  • #1
Zubz
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Homework Statement


Hi, i have a question.
1. find the function f(x).
f'(x) = f(x)(1- f(x)) f(0) = 1/8 ---> intial value problem.

Homework Equations





The Attempt at a Solution


y' = y(1 - y)
y' = y - y2
and now i don't know how/ what to do.
 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
43,010
969
[tex]\frac{dy}{dt}= y(1- y)[/tex]
so
[tex]\frac{dy}{y(1- y)}= dt[/tex]

Now integrate on both sides.
 

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