Trouble with Late Friday Night Homework

  • Thread starter erok81
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In summary, the conversation discusses a problem with solving the equation y' = (1/2)(y-1)^2 and finding the correct solution. The person attempted to use variable separation and integration but encountered errors. They mention a possible algebra error and ask for assistance.
  • #1
erok81
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Homework Statement



I have no clue why I am having trouble with this...late friday night homework maybe.

Solve: [tex]y'=\frac{1}{2}(y-1)^{2}[/tex]
y(0)=2

Homework Equations



The Attempt at a Solution



I tried variable separation and integrating from there:

[tex]\frac{y'}{(y-1)^{2}}=\frac{1}{2}[/tex]

I'm not sure why that didn't work, but I couldn't get the correct from that.Any ideas?
 
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  • #2
Multiply both sides of that equation by dx and it should be a very simple integral... Just make sure you get all of your signs correct.

EDIT: Although the second equation should be (y-1) and not (y-2).
 
  • #3
Oh yes, that was a typo - thank you

I'll give it another go. For some reason after integrating it didn't look right so I gave up too soon. I am pretty sure my error is in the algebra at the end. :redface:
 
  • #4
erok81 said:
Oh yes, that was a typo - thank you

I'll give it another go. For some reason after integrating it didn't look right so I gave up too soon. I am pretty sure my error is in the algebra at the end. :redface:

If you show your algebra, I might be able to help you.
 

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"Trouble with Late Friday Night Homework" is a common issue experienced by students where they struggle to complete their homework assignments on Friday nights, often leading to late submissions.

What are the reasons for facing trouble with late Friday night homework?

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