Results 1 to 4 of 4

Math Help - integration question

  1. #1
    Newbie
    Joined
    Jan 2011
    Posts
    6

    Exclamation integration question

    involving differential equations

    will integration by separation by variables and integration by integration factor give the same answer??

    cheers to all who respond
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2
    In those cases where both methods are applicable, both methods will yield the same result. Not every DE is separable, and not every DE is first-order linear (the requirement for being able to use the integrating factor method).

    I should mention one thing: the way the arbitrary constant looks might vary from one method to the other. But it should behave mathematically the same way (e.g., it's multiplying something, or it's added to something).
    Last edited by Ackbeet; January 26th 2011 at 05:13 AM. Reason: Arbitrary constant.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2011
    Posts
    6
    thank you...i was unsure whether i had to use integration by parts in one of my equations..although i have got the same result by both..so in this case i do not need to.

    or is integration by parts only applicable on in the RL and RC electrical circuits.

    thanks
    Follow Math Help Forum on Facebook and Google+

  4. #4
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2
    Integration by parts is not the same idea as separation of variables, nor is it the same concept as the integrating factor.

    or is integration by parts only applicable on in the RL and RC electrical circuits.
    In RL and RC circuits, you use whatever methods you can! They're first-order DE's, so there's the possibility of a bunch of methods being available to you, especially if the DE is linear. You might use integration by parts in there somewhere, but it would be in the context of a higher-up method such as separation of variables or the integrating factor method. Most of the time, you can't just solve a DE by integrating by parts.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: July 21st 2010, 06:20 PM
  2. Integration question
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 5th 2010, 11:19 AM
  3. i need help in integration question?
    Posted in the Calculus Forum
    Replies: 11
    Last Post: January 24th 2010, 07:03 PM
  4. Integration question
    Posted in the Calculus Forum
    Replies: 12
    Last Post: December 7th 2009, 03:49 PM
  5. integration question help
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 17th 2008, 06:48 PM

Search Tags


/mathhelpforum @mathhelpforum