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Stuck on integration step

  • Thread starter asdf1
  • Start date
734
0
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

TD
Homework Helper
1,020
0
[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:
 
734
0
jeepers! thanks for reminding me about the arctan-ish thingy...
crud, totally forgot about that one~
:)
 
TD
Homework Helper
1,020
0
No problem; but never forget the arctan hehe :biggrin:
 

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