anonymous
  • anonymous
I still don't understand why the solution for this diff equation is like this dy/(1-y)^2=1/(1-y) is there any explanation for this solution???thank you in advance
MIT 18.03SC Differential Equations
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\int\limits_{ }^{ }(\frac{ 1 }{ (1-y)^{2} })dy = \int\limits_{ }^{ }((1-y)^{-2})dy\] Just integrate it with a negative power, so when you increase the power by 1 it will go to -1 then divide by the new power so -(1-y)^-1 which equals -1/(1-y)
anonymous
  • anonymous
thank you for your consideration, exactly we have the same integration result but I thin we got negative in the right side and for the task in the right side is possitive. would it be still the same meaning fo this sign?
anonymous
  • anonymous
im only suggesting partial fractions..

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anonymous
  • anonymous
Using the substitution rule you should find that a -1 multiplication follows from the denominator (1-y).

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