## anonymous 3 years ago I need help with an implicit function.

1. anonymous

The function can be seen on the picture. I should show that y(0)=0 but I stuck at the step you see on the picture. It seems possible at that step that y(0)=0 is a solution but there still might be others too.

2. phi

without knowing what y(x) looks like, the best we can say is the equation is true for y(0)=0

3. anonymous

I can follow all of your steps. The last one is: $y(0)=\ln (1-y(0))$Now consider this: there are three possibilities for y(0): 1. y(0)=0 2. y(0)>0 3. y(0)<0 Can you see where this leads to?

4. anonymous

Suppose y(0) = 0. Because ln(1-0)=ln(1)=0, this works. What about other values instead of 0? Why wouldn't that be possible?

5. anonymous

Ah, I see. All the other possibilities are ruled out because otherwise the last equation would make no sense.

6. anonymous

Thank you ZeHanz for your help.

7. anonymous

yw!