Consider dy/dt = 2*(abs(sqrt(y)))(adsbygoogle = window.adsbygoogle || []).push({});

1.Show that y(t)=0 is a solution for all t.

I did this part

2.Find all solutions (hint, give solution like y(t)=... for t>=0, y(t)=... t<0).

He told us in class that t=0 isn't necessarily the point we should be concerned with

3.Why doesn't this contradict the uniqueness theorem?

I have a feeling it's because our DE isn't differentiable at y=0, but my main problem is number 2.

I graphed this DE on the computer, so assuming I typed it in right I know what it looks like. I also tried splitting the DE up into cases for part 2, but it seems that I would have to perform the same integral twice which doesn't really make sense.

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# DE homework problem

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