1) $\displaystyle (x^2+30)y' = xy$

If I separated it like this:

$\displaystyle \frac{y'}{y} = \frac{x}{x^2+30}$

...can I integrate anyway and get lnY = something?

2) $\displaystyle y' = 38y^2sin(x)$

This is the same above. Getting the y and x variables, but since there's not dx can I then Integrate anyway?

3) $\displaystyle \frac{du}{dt} = 1+u+t+tu$

This one I'm just not sure how to separate.

Any help on these is appreciated. I know they're simple, but well, so am I.