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#### find_the_fun

##### Active member

- Feb 1, 2012

- 166

so is it legal to add \(\displaystyle 4(x+y^6)dy\) to both sides of the equation? I thought it's bad to add integrands (i.e. dx or dy).

Or is it legal to divide both sides of the equation by dx? Would this result in

\(\displaystyle y-4(x+y^6)\frac{dy}{dx}=0\) or \(\displaystyle y-\frac{4(x+y^6)}{dx}\frac{dy}{dx}=0\)