Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Solve IVP 2nd order differential equation

  1. Oct 7, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the particular solution of the linear, homogeneous, 2nd order differential equation: y'' - 2y' + 2y = 0, given the solutions y1 = (e^x)*(cos x), y2 = (e^x)*(sin x), y(0) = 0, y'(0) = 5.


    2. Relevant equations



    3. The attempt at a solution
    How do I begin? I'd really appreciate any help! Thank you.
     
  2. jcsd
  3. Oct 7, 2010 #2

    jambaugh

    User Avatar
    Science Advisor
    Gold Member

    Your general solution (before applying initial conditions) is a general linear combination of your two given solutions:
    y = A y1 + B y2.
    You then substitute in your two initial conditions and solve for the arbitrary constants A and B.
     
  4. Oct 11, 2010 #3
    Ah, thank you for putting it so short and clearly :)
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook