Hi Mark, I have tried separating the variables yet I can't figure out how to move the bracketed term across. Could you advise how to do this and show what the final solution would be?As long as you have:
\(\displaystyle f(y)\,dy=g(x)\,dx\) or \(\displaystyle f(x)\,dx=g(y)\,dy\) it does not matter. I tend to like this first form, with $y$ on the left and $x$ on the right, but that's just the way I was taught.
Yes, that's fine, although I would probably choose to write:dy/(27*y^3)=dx/((4*x+1)^2)
This is my final separation can you please tell me if this is the correct result. Can this be simplified down even further?
At this point it is okay to integrate right?
edit: Do you know what the answer will be for the integration because my work sheet doesn't have it and I'd like to have it before I finish the question.