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This is what I thought the answer is, but it's wrong.
If it helps at all, I believe this is a Bernoulli equation. :-/

Proof that I actually tried hehe...

What if we expanded the RHS first?

Try it... I am really unsure of what to do at this point.

Expand and use integrating factor

Ah...

Perhaps my math teacher led me astray. I'll give int factor a shot

I can't do it. I get stuck.

But will we ever be able to isolate y with this method? That's what I wonder.

Yep.

I personally don't like the "du/dt -1". But thats just my opinion.

So integrating factor would be e^(-4t^2) for this, and then just solve?

I think I am going to throw in the towel for tonight. Thank you all for your help anyway...

Try approaching the problem the way access suggested, it makes a lot more sense.

towel throwing time? :c aw

That looks much better.

Zepdrix was right.

And accessdenied too :-). Thanks everyone!

You are welcome! Glad it was sorted out. :P

I like the way you worked ytour problem, @brinethery :)

Thanks!