1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Laplace transform initial value problem

  1. Dec 2, 2009 #1
    1. The problem statement, all variables and given/known data

    Use the Laplace transform to solve the following initial value problem:
    x' = 7 x + 5 y, y'= -2 x + e5t, x(0)=0, y(0)=0

    Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s)

    2. Relevant equations



    3. The attempt at a solution
    I'm confused on how to deal with the the x and y in each equation. We didn't do an example like this in class so I'm a little lost. We did it with one equation, but not two. Any help would be greatly appreciated!
     
    Last edited: Dec 3, 2009
  2. jcsd
  3. Dec 3, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Then take the Laplace transform of both x and y! It's exactly the same. You will get two equations for the two Laplace transforms. Solve for each transform, then take the inverse transform to find x and y. It might be a good idea to let the variable be the usual "s" in one transform and, say, "t" in the other.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Laplace transform initial value problem
Loading...