Results 1 to 2 of 2

Math Help - Laplace Transforms

  1. #1
    ggw
    ggw is offline
    Junior Member
    Joined
    Feb 2007
    Posts
    44

    Laplace Transforms

    use Laplace transforms to solve the inital value problem

    y'' + 5y' + 4y = 2e^-3t y(0) = 0 & y'(0) = -1

    thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    y''+5y'+4y=2e^{-3t}, \;\ y(0)=0, \;\ y'(0)=-1

    p^{2}Y-py(0)-y'(0)+5(pY-y(0))+4Y=\frac{2}{p+3}

    p^{2}Y+1+5pY+4Y=\frac{2}{p+3}

    Y(p^{2}+5p+4)=\frac{2}{p+3}-1

    Y=\frac{1}{p+4}-\frac{1}{p+3}

    Now use the inverse LaPlace:

    y=e^{-4t}-e^{-3t}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. LaPlace transforms
    Posted in the Differential Equations Forum
    Replies: 8
    Last Post: January 28th 2011, 10:38 AM
  2. Laplace Transforms
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: August 31st 2009, 07:26 AM
  3. Laplace transforms
    Posted in the Calculus Forum
    Replies: 3
    Last Post: April 27th 2007, 09:05 PM
  4. Laplace Transforms
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 4th 2007, 03:50 AM
  5. Laplace transforms
    Posted in the Calculus Forum
    Replies: 4
    Last Post: November 9th 2006, 12:09 AM

Search Tags


/mathhelpforum @mathhelpforum