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Solving integral equations

  1. Sep 15, 2012 #1
    1. The problem statement, all variables and given/known data
    Solve the following integrale equation by rewriting them as initial value problems:

    y(x) = 2 + ∫(y(t))^2dt -this is a definite integral with limits from 1 to x


    2. Relevant equations



    3. The attempt at a solution

    I am unsure how to approach this question at all because my textbooks did not cover this topic and I couldn't find any examples on the internet either. Thanks
     
  2. jcsd
  3. Sep 15, 2012 #2

    MarneMath

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    Education Advisor

    Think about the fundamental theorem of calculus. I think it'll become clearer once you look it over.
     
  4. Sep 15, 2012 #3
    I am not sure what you are asking about. Can you explain what is the meaning of "rewriting them as initial value problems"?
     
  5. Sep 15, 2012 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Differentiate both sides of the equation! What is y(1)?
     
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