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So I would like to get some input on the solution I came up with on the following problem:

enter image description here

There is obviously no way of finding an explicit solution (y= ...) using separation of variables like I did. So would it be correct to leave the answer like this?

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    Thanks all. Yeah leaving an actual answer would be a good idea2011-08-30

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Check your answer against Wolfram-Alpha.

enter image description here enter image description here enter image description here

and it appears you have it correct.