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Inequality for solution

  1. May 4, 2010 #1
    Consider the problem

    [tex]y'=\sqrt{y^2+x^2+1}[/tex]
    [tex]y(0)=0[/tex]

    Prove that the solution is defined for all [tex] x \in \mathbb{R} [/tex] and that [tex] y(x) \geq \sinh (x)[/tex] [tex] \forall x \geq 0[/tex]
     
  2. jcsd
  3. May 4, 2010 #2

    Redbelly98

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    Is this homework?
     
  4. May 5, 2010 #3
    Not really, I just don't know where to start from.
     
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