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Formulate a second-order ODE as a first-order system.

  1. Dec 12, 2008 #1
    1. The problem statement, all variables and given/known data

    Write (11.55) as a system of two first-order differential equations. Also set
    up the initial condition for this system


    2. Relevant equations

    mu'' + f(u' ) + s(u) = F(t), t > 0, u(0) = U0, u˙ (0) = V0 .



    3. The attempt at a solution

    Hey, I don't know how write a system of two first-order differential equations.
    I got the equation in an introduction programming class. Can someone please help me
     
  2. jcsd
  3. Dec 12, 2008 #2

    lurflurf

    User Avatar
    Homework Helper

    let v=u'
    mu'' + f(u' ) + s(u) = F(t), t > 0, u(0) = U0, u˙ (0) = V0
    ->
    v=u',mv' + f(v ) + s(u) = F(t), t > 0, u(0) = U0, v (0) = V0
     
  4. Dec 12, 2008 #3
    Thank you.
     
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