1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    User Avatar
    Homework Helper

    [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

    User Avatar
    Homework Helper

    No problem; but never forget the arctan hehe :biggrin:
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...