Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 2nd order diff equations

  1. May 11, 2008 #1

    wombat4000

    User Avatar

    Last edited by a moderator: May 3, 2017
    wombat4000, May 11, 2008
  2. jcsd
    Phys.org - latest science and technology news stories on Phys.org
  3. May 11, 2008 #2

    Defennder

    User Avatar
    Homework Helper

    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

    User Avatar

    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

    User Avatar
    Homework Helper

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

    wombat4000

    User Avatar

    thanks!
    http://img237.imageshack.us/img237/3676/167uqnbsi6.gif [Broken]
     
    Last edited by a moderator: May 3, 2017
    wombat4000, May 11, 2008
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook