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2nd order diff equations

  1. May 11, 2008 #1

    wombat4000

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    Last edited by a moderator: May 3, 2017
    wombat4000, May 11, 2008
  2. jcsd
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  3. May 11, 2008 #2

    Defennder

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    Firstly, suppose y1 is a solution to y''+ay'+by=g(x). What then is a solution of y''+ay'+by=kg(x), where k is an arbitrary non-zero constant?

    Secondly, note that a general solution to a non-homogenous linear ODE is its homogenous solution plus one particular solution to its nonhomogenous ODE.
     
    Defennder, May 11, 2008
  4. May 11, 2008 #3

    wombat4000

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    solution to y''+ay'+by=kg(x) is ky1?

    so the solution to y''+ay'+by=3g(x) is the complimentyery function + particular integral = 3y1 + y2?
     
    wombat4000, May 11, 2008
  5. May 11, 2008 #4

    Defennder

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    That should be correct.
     
    Defennder, May 11, 2008
  6. May 11, 2008 #5

    wombat4000

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    thanks!
    http://img237.imageshack.us/img237/3676/167uqnbsi6.gif [Broken]
     
    Last edited by a moderator: May 3, 2017
    wombat4000, May 11, 2008
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