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I'm given a problem with the ODE

y'[x]=y[x]*Sqrt[4-2y[x]]

I've tried

DSolve[{w'[x] == w[x]*Sqrt[4 - 2*w[x]]}, w[x], x]

which gives me

{{w[x] -> -2 (-1 + Tanh[1/2 (-2 x - Sqrt[2] C[1])]^2)}}
but that doesn't seem correct for some reason.

Can someone please point me in the direction of how to do this problem correctly? I don't really understand Mathematica at all.

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    Why do you think it isn't correct?2012-10-25
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    Do you have boundary conditions by any chance that you could use to plot the solution? `{{w[x] -> -2 (-1 + Tanh[1/2 (-2 x - Sqrt[2] C[1])]^2)}}` is what I got on Mathematica as well. What were you expecting?2012-10-25

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