anonymous
  • anonymous
can anyone help me solve for y? integral(dy/(100-y)) = integral(xdx)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{?}^{?}(1/100-y)= \int\limits_{?}^{?}(x*dx)\]
TuringTest
  • TuringTest
\[\int\frac{dy}{100-y}=\int xdx\]\[u=100-y\to du=-dy\]\[-\int\frac{du}{u}=\int xdx\]\[-\ln u=\frac12x^2\]\[\ln(100-y)=-\frac12x^2\]\[100-y=e^{-x^2/2}\]\[y=100-e^{-x^2/2}\]simplify if you wish...
anonymous
  • anonymous
ok i see thank you

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anonymous
  • anonymous
I believe there should have been an absolute value sign around the u...which would make it + or minus e^...
anonymous
  • anonymous
But the rest of it looks good.
anonymous
  • anonymous
don't for get the c at the end.
anonymous
  • anonymous
|dw:1328642550701:dw|
anonymous
  • anonymous
|dw:1328642701366:dw|

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