Results 1 to 4 of 4

Math Help - 2nd order inhomgenous eqautions

  1. #1
    Junior Member
    Joined
    Jul 2012
    From
    Manchester
    Posts
    30

    2nd order inhomgenous eqautions

    Using the complementary function and particular integral
    method, find the solution of the differential equation

    a) d^2y/dx^2+3dy/dx+2y=20cos2x
    which satifies y(0)=1 and y'(0)=0


    b)Briefly
    explain how you could check whether your answer is

    correct. If you would use technology to help you check, give
    details of this

    c) The eqaution d^2y/dx^2+6dy/dx+9y=h(x) has a complementary function y=(ax+b)e^-3x
    give detail of the particular integral if h(x) were given by
    i)h(x)=5x+6


    ii)h(x)=5e^-3x

    iii)h(x)=5xe^-3x
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,569
    Thanks
    1427

    Re: 2nd order inhomgenous eqautions

    Quote Originally Posted by Magical View Post
    Using the complementary function and particular integral
    method, find the solution of the differential equation

    a) d^2y/dx^2+3dy/dx+2y=20cos2x
    which satifies y(0)=1 and y'(0)=0


    b)Briefly
    explain how you could check whether your answer is

    correct. If you would use technology to help you check, give
    details of this

    c) The eqaution d^2y/dx^2+6dy/dx+9y=h(x) has a complementary function y=(ax+b)e^-3x
    give detail of the particular integral if h(x) were given by
    i)h(x)=5x+6


    ii)h(x)=5e^-3x

    iii)h(x)=5xe^-3x
    What have you tried?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jul 2012
    From
    Manchester
    Posts
    30

    Re: 2nd order inhomgenous eqautions

    ive integrated both sides of the eqaution to give dy/dx +3y +y=10sin(2x) and substituted in y=0
    to give dy/dx=10sin(2x)
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,569
    Thanks
    1427

    Re: 2nd order inhomgenous eqautions

    Quote Originally Posted by Magical View Post
    ive integrated both sides of the eqaution to give dy/dx +3y +y=10sin(2x) and substituted in y=0
    to give dy/dx=10sin(2x)
    You can't solve this with direct integration. I suggest you read about Homogeneous and Nonhomogeneous second order ODEs with constant coefficients.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Transposing eqautions and identities and explaining
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: July 6th 2012, 10:12 PM
  2. find solutions in eqautions in interval
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: November 21st 2008, 10:23 AM
  3. triq eqautions
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: April 17th 2008, 05:54 AM
  4. qaudratic eqautions
    Posted in the Algebra Forum
    Replies: 10
    Last Post: February 25th 2008, 08:01 PM
  5. Trig. Eqautions
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: May 5th 2006, 02:47 PM

Search Tags


/mathhelpforum @mathhelpforum