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# Differential Equation watch

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

Integrate both sides
3. Thanks alot. It was alot simpler than i thought but i think the uncommon variables threw me off.
4. 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 ?
5. 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!
6. Silly me.. Thanks mate.

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