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posted by  Lucas888 on 7/29/2009 7:13:06 PM  |  status: Closed  |  Earned Karma: 25

Differential Equations

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Differential Equations Differential Equations for dummies N/A N/A N/A
Question Details:
I was looking at Diff Eq for Dummies book and am stuck on the following from page 27.
Starting from the linear                                                                   1
Multiply each term by μ(t) to get              2           (ok)
we look for a derivative                              3             (ok)
comparing the left of Eq 2 and the right of Eq3
we see that we have                                                                    4             (ok)
rearranging                                                                                          5               (ok)
What happed to the top of the left hand side of Eq 5 to get to
Specifically,  where did the (t) go?
Can you explain or direct me where to find this out?
Thanks
Lucas Moellers
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Oracle
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posted by Kingle on 7/29/2009 8:00:33 PM  |  status: Live
Asker's Rating: Somewhat Helpful   
Response Details:
   this is the a linear differential equation of the form
where p(t) = 2 and q(t) = 4  we can use the integral factor method
   ====> 
    because we know that
Oracle
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posted by wchau on 7/29/2009 8:07:53 PM  |  status: Live
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Response Details:
The step (after (5)) below is skipped from the book.

Integrating both sides of (5), we have
.
Thus , where is a constant.
Please consider rating my solution Lifesaver if you find that my solution is the best solution among all available solutions or it is the only solution available!
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