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baddinlol 2 years ago I need to find two solutions to this differential equation.

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1. baddinlol

dy/dx=1-2y

2. mukushla

this is a separable differential equation...have u tried it yet?

3. baddinlol

I can only find one, I just found y = (1-Ae^(-2x))/2 where A = e^2c

4. baddinlol

SOmehow the solutions say the other solution is (Ae^(-2x) + 1 )/2

5. baddinlol

But I cannot see how they got that

6. TuringTest

are you given multiple initial conditions?

7. baddinlol

I am given no initial conditions

8. TuringTest

oh but you already have a constant... nvmd

9. myko

$dy/(1-2y)=dx$ $\sqrt{1-2y}=Ce ^{x}$ $1-2y = \pm Ce ^{x}$

10. TuringTest

I mean remember absolute value with$\int\frac{du}u=\ln|u|+C$ :P

11. baddinlol

Oh Yeah I get you

12. baddinlol

Thanks

13. TuringTest

welcome!

14. myko

that comes out nicely from the square root anyway

15. baddinlol

Thanks Myko

16. myko

yw

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