## anonymous 4 years ago I need to find two solutions to this differential equation.

1. anonymous

dy/dx=1-2y

2. anonymous

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

3. anonymous

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

4. anonymous

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

5. anonymous

But I cannot see how they got that

6. TuringTest

are you given multiple initial conditions?

7. anonymous

I am given no initial conditions

8. TuringTest

oh but you already have a constant... nvmd

9. anonymous

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

10. TuringTest

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

11. anonymous

Oh Yeah I get you

12. anonymous

Thanks

13. TuringTest

welcome!

14. anonymous

that comes out nicely from the square root anyway

15. anonymous

Thanks Myko

16. anonymous

yw