- #1

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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.

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- Thread starter Zubz
- Start date

- #1

- 3

- 0

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.

y' = y(1 - y)

y' = y - y2

and now i don't know how/ what to do.

- #2

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 963

[tex]\frac{dy}{dt}= y(1- y)[/tex]

so

[tex]\frac{dy}{y(1- y)}= dt[/tex]

Now integrate on both sides.

so

[tex]\frac{dy}{y(1- y)}= dt[/tex]

Now integrate on both sides.

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