# Thread: *sigh*... a DFQ problem.

1. ## *sigh*... a DFQ problem.

Too many of these :0\.
I need to prove that the solution y(x) of this given problem:
y' = [(y-1)sin(xy)/(x^2+y^2+1)], y(0) = 1/2,
satisfies: 0<y(x)<1.

Trying, but just don't get it.

Thanks...

2. Originally Posted by aurora
Too many of these :0\.
I need to prove that the solution y(x) of this given problem:
y' = [(y-1)sin(xy)/(x^2+y^2+1)], y(0) = 1/2,
satisfies: 0<y(x)<1.

Trying, but just don't get it.

Thanks...
Hint:
y' = 0 when y = 0
y' = 0 when y = 1

-Dan

3. Thanks.
That does ring a bell but I guess I'm too tired to think it through tonight.

I'll update you. Thanks!!!

4. Can I have futher help? I can't seem to make progress with what you told me.