Results 1 to 4 of 4

Math Help - Particular solution of 2nd order ODE

  1. #1
    Newbie
    Joined
    Aug 2010
    Posts
    7

    Particular solution of 2nd order ODE

    I was doing this question y''+3y'=cos(x)+1 and when finding the particular solution wasnt sure if I could use y=Acos(x)+Bsin(x) becuase of the +1.

    Is this the right method for this question?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,386
    Thanks
    52
    Yes, you do for the \cos x but you'll also need y_p = Ax for the 1 term.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2010
    Posts
    7
    So I am finding two particular solutions?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,386
    Thanks
    52
    Yes - one for each of the nonhomogeneous terms (the two different types of terms).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Particular Solution for 2nd Order Non-Hom O.D.E.
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: December 16th 2010, 03:39 PM
  2. the general solution to a first order ODE
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: March 12th 2010, 08:08 AM
  3. n-th order ODE, general solution?
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: February 10th 2010, 05:04 PM
  4. technical solution for this 2nd order de..
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: March 11th 2009, 08:41 PM
  5. 2nd Order Diff. Equ. Solution
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 11th 2006, 05:09 AM

Search Tags


/mathhelpforum @mathhelpforum