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2nd Order differential equation.

  1. Apr 10, 2012 #1
    2nd Order differential equation, numerical method

    1. The problem statement, all variables and given/known data
    I've attached the question.


    2. Relevant equations



    3. The attempt at a solution
    u=y and v=y′

    let y'=dy/dt = du/dt = v
    dv/dt = u''
    therefore, dv/dt + 7(v)^2 +3x^2 *y^3 = 2
    dv/dt = 2 - (7(v)^2) - (3x^2)*(u^3)
    and dx/dt = 1, where x(t0)=0

    and u(t0)=4, v(t0)=8

    the only part im not sure is the part i've bolded. i think x(t0)=0 however in all the other options it has x(t0)=1 so im pretty much only left with the "none of these" option.
     

    Attached Files:

    Last edited: Apr 10, 2012
  2. jcsd
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