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#### GreenGoblin

##### Member

- Feb 22, 2012

- 68

1)[TEX]\frac{dy}{dx}=y - \frac{y^{2}}{10} - 0.9[/TEX]

2)[TEX]\frac{dy}{dx}=y - \frac{y^{2}}{10} - 5[/TEX]

Confidence exists that if I can do one I can do the other since its just changing one value. Let's try the first.

What I tried:

Dividing through the RHS and multiplying by dx, integrating, I get obviously log of the function times 1/ the derivative of the log = x. BUT, then I don't know how to get the y on its own. Basically, I am used to linear problems only. I don't know how to isolate y here because if I take exponents it gets stuck in there and the whole thing gets messy. I would think this is a pretty common problem that once learned is learned. But I haven't learned it and don't know where to. Can anyone help?