Stuck on integration step

  • Thread starter asdf1
  • Start date
  • #1
asdf1
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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?
 

Answers and Replies

  • #2
TD
Homework Helper
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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:
 
  • #3
asdf1
734
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jeepers! thanks for reminding me about the arctan-ish thingy...
crud, totally forgot about that one~
:)
 
  • #4
TD
Homework Helper
1,022
0
No problem; but never forget the arctan hehe :biggrin:
 

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