General solution of a differential equation (separable)

  • Thread starter hpayandah
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  • #1
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Homework Statement


Find the general solution of the differential equation y'=4t-ty^2

Homework Equations


y'=4t-ty^2


The Attempt at a Solution


I 'think' this question is pretty straight forward but i'm still not sure if I did it right or not. I have two question. One till the last step that I have done, have I done it correctly 2. How do I proceed from there? The attempt is attached.
 

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  • #2
dextercioby
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What you've written is correct. Normally, you should know on what subset of R you're looking for y. If not, then keep the modulus there and don't explicitate.
 
  • #3
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What you've written is correct. Normally, you should know on what subset of R you're looking for y. If not, then keep the modulus there and don't explicitate.
The proff didn't give any range for y. So by don't explicitate you mean I should keep it the way it is?
 
  • #4
dextercioby
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Yes.
 

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