Question

Find the general solution of: xdy+ydx= (xy)^2 dy

Answer 1

x dy + y dx = d(xy)

Hence

\[\frac{ d(xy)}{(xy)^2} = dy\]

So you can now integrate both sides

Answer 2

Okay, so the answer I got is xy=y+c

Answer 3

Not quite. The integral on the LHS is something else.

Answer 4

hmm, well if this is not it, then I give up ):
is it: -xy=2y+C ?

Answer 5

What is
\[\int\limits \frac{du}{u^2}\]