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Stuck on integration step

  1. Aug 27, 2005 #1
    In the problem, y`= 1+0.01y^2
    the first i took was
    dy/(1+0.01y^2)=dx
    however, i'm stuck on the integration step...
    can someone help?
     
  2. jcsd
  3. Aug 27, 2005 #2

    TD

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    [tex]\int {\frac{{dy}}{{1 + 0.01y^2 }}} = \int {\frac{{dy}}{{1 + \left( {\frac{y}{{10}}} \right)^2 }}} = 10\int {\frac{{d\left( {\frac{y}{{10}}} \right)}}{{1 + \left( {\frac{y}{{10}}} \right)^2 }}}[/tex]

    The last one smells arctan-ish :smile:
     
  4. Aug 27, 2005 #3
    jeepers! thanks for reminding me about the arctan-ish thingy...
    crud, totally forgot about that one~
    :)
     
  5. Aug 27, 2005 #4

    TD

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    No problem; but never forget the arctan hehe :biggrin:
     
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