anonymous
  • anonymous
I need to find two solutions to this differential equation.
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
dy/dx=1-2y
anonymous
  • anonymous
this is a separable differential equation...have u tried it yet?
anonymous
  • anonymous
I can only find one, I just found y = (1-Ae^(-2x))/2 where A = e^2c

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anonymous
  • anonymous
SOmehow the solutions say the other solution is (Ae^(-2x) + 1 )/2
anonymous
  • anonymous
But I cannot see how they got that
TuringTest
  • TuringTest
are you given multiple initial conditions?
anonymous
  • anonymous
I am given no initial conditions
TuringTest
  • TuringTest
oh but you already have a constant... nvmd
anonymous
  • anonymous
\[dy/(1-2y)=dx\] \[\sqrt{1-2y}=Ce ^{x}\] \[1-2y = \pm Ce ^{x}\]
TuringTest
  • TuringTest
I mean remember absolute value with\[\int\frac{du}u=\ln|u|+C\] :P
anonymous
  • anonymous
Oh Yeah I get you
anonymous
  • anonymous
Thanks
TuringTest
  • TuringTest
welcome!
anonymous
  • anonymous
that comes out nicely from the square root anyway
anonymous
  • anonymous
Thanks Myko
anonymous
  • anonymous
yw

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