Question

I need to find two solutions to this differential equation.

Answer 1

dy/dx=1-2y

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

But I cannot see how they got that

Answer 6

are you given multiple initial conditions?

Answer 7

I am given no initial conditions

Answer 8

oh but you already have a constant... nvmd

Answer 9

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

Answer 10

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

Answer 11

Oh Yeah I get you

Answer 12

Thanks

Answer 13

welcome!

Answer 14

that comes out nicely from the square root anyway

Answer 15

Thanks Myko

Answer 16

yw