Results 1 to 2 of 2

Math Help - Second order differential equations

  1. #1
    Newbie
    Joined
    Mar 2008
    Posts
    9

    Second order differential equations

    Find the general solution of the ODE:

    y'' - 7y' + 6y = 2*exp(3t) + t*e^t

    i did this question and got the general solution of the homogenous equation and particular solution of 2*exp(3t) correct. Howver when solving the particular solution of t*e^t, everything sorta cancelled out on the last step...someone help pls thx alot!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by ssdimensionss View Post
    Find the general solution of the ODE:

    y'' - 7y' + 6y = 2*exp(3t) + t*e^t

    i did this question and got the general solution of the homogenous equation and particular solution of 2*exp(3t) correct. Howver when solving the particular solution of t*e^t, everything sorta cancelled out on the last step...someone help pls thx alot!
    Try a particular solution of the form y = (a + bt) e^t.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: May 7th 2011, 11:26 AM
  2. Replies: 2
    Last Post: May 18th 2009, 04:49 AM
  3. Replies: 2
    Last Post: February 23rd 2009, 06:54 AM
  4. Replies: 5
    Last Post: July 16th 2007, 05:55 AM
  5. Replies: 3
    Last Post: July 9th 2007, 06:30 PM

Search Tags


/mathhelpforum @mathhelpforum