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Help for this question ?

  1. Mar 8, 2009 #1
    Find all continuous functions f(x) satisfying
    f(x) > −1 and [tex]f(x) = x + \int_{1}^{x} f(t) dt[/tex]


    for all x
     
  2. jcsd
  3. Mar 8, 2009 #2

    lurflurf

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    Homework Helper

    First show f must be twice differentiable.
    Next differentiate your equation twice to yield
    f''=f'
    find f
     
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