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    Can someone explain to me how this differential equation was solved?
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    separation of variables:
    (1/p) dp = b dt

    Integrate both sides
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    Thanks alot. It was alot simpler than i thought but i think the uncommon variables threw me off.
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    Just realised I havn't got the exact solution given in those notes yet.
    By seperation of variables, i got p(t) = e^bt.
    How have they got p(t) = p(0)e^bt ?
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    When you integrate you forgot the constant: lnp = bt + c.
    When t=0, p=p(0) so c=ln(p(0))...then it all works!
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    Silly me.. Thanks mate.
 
 
 
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Updated: March 21, 2011
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