Homework: Finding an antiderivative

  • #1

Homework Statement


dy/dx = y(1-y)


Homework Equations





The Attempt at a Solution


dx = dy(y(1-y))???
 

Answers and Replies

  • #2
dextercioby
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What do you know about separation of variables ?
 
  • #3


that you can separate them if there is an x and a y on the right side of the equation and they are multiplying
 
  • #4
dextercioby
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Alright, so can you separate x and y in your equation ?
 
  • #5


I don't think so because there is no x on the right side it's only y?
 
  • #6
dextercioby
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Alright, then, you must reread your notes, because the equation you posted is separable, as it's a simpler case of the general

[tex] \frac{dy}{dx} = X(x)Y(y) [/tex]

In your case, X(x)=1, so the variables can be separated.
 

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