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baddinlol

  • 2 years ago

I need to find two solutions to this differential equation.

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  1. baddinlol
    • 2 years ago
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    dy/dx=1-2y

  2. mukushla
    • 2 years ago
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    this is a separable differential equation...have u tried it yet?

  3. baddinlol
    • 2 years ago
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    I can only find one, I just found y = (1-Ae^(-2x))/2 where A = e^2c

  4. baddinlol
    • 2 years ago
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    SOmehow the solutions say the other solution is (Ae^(-2x) + 1 )/2

  5. baddinlol
    • 2 years ago
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    But I cannot see how they got that

  6. TuringTest
    • 2 years ago
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    are you given multiple initial conditions?

  7. baddinlol
    • 2 years ago
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    I am given no initial conditions

  8. TuringTest
    • 2 years ago
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    oh but you already have a constant... nvmd

  9. myko
    • 2 years ago
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    \[dy/(1-2y)=dx\] \[\sqrt{1-2y}=Ce ^{x}\] \[1-2y = \pm Ce ^{x}\]

  10. TuringTest
    • 2 years ago
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    I mean remember absolute value with\[\int\frac{du}u=\ln|u|+C\] :P

  11. baddinlol
    • 2 years ago
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    Oh Yeah I get you

  12. baddinlol
    • 2 years ago
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    Thanks

  13. TuringTest
    • 2 years ago
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    welcome!

  14. myko
    • 2 years ago
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    that comes out nicely from the square root anyway

  15. baddinlol
    • 2 years ago
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    Thanks Myko

  16. myko
    • 2 years ago
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    yw

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