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ODE help please

  1. Feb 3, 2008 #1
    1. The problem statement, all variables and given/known data
    y'+ytanx = cos x y(0)=1


    2. Relevant equations



    3. The attempt at a solution

    We are studying separable ode's and integrating factor right now, I am a little confused... If someone could steer me in the right direction, it would be greatly appreciated... This is what I have so far:

    P= tanx
    [tex]\int[/tex]P = -ln|cosx|
    [tex]\mu[/tex]=e[tex]^{}-lncosx[/tex]
    [tex]\mu[/tex]= 1/cosx

    (1/cosx*y)' =[tex]\int[/tex]1/cosx cosx

    and this is where I get stuck... am I even on the right track?

    Thanks

    Eeriana
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 3, 2008 #2

    Hootenanny

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    You are on the right track and have calculated the IF correctly and written the complete differential correctly. Note that you can simplify the integrand...
     
  4. Feb 3, 2008 #3
    But isn't 1/cosx * cosx = 1 Or am I having an algebraic malfunction?
     
  5. Feb 3, 2008 #4

    Hootenanny

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    Nope you are indeed correct.
     
  6. Feb 3, 2008 #5
    I thought I was doing something wrong.... hmmm..now I am going to see if I can finish it!

    Thanks for the help
     
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