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## Main Question or Discussion Point

I am having confusion, so from what I understand for an exact DE

dy/dx = some DE and you can manipulate it so that (y/x) appears and substitute that for v when you say y=vx, then just use separation of variables and solve.

However, what is the significance of an exact DE, why is it useful, or is it just a way that someone has figured out how to solve and bares no meaning beyond being a method to solve that type of DE?

dy/dx = some DE and you can manipulate it so that (y/x) appears and substitute that for v when you say y=vx, then just use separation of variables and solve.

However, what is the significance of an exact DE, why is it useful, or is it just a way that someone has figured out how to solve and bares no meaning beyond being a method to solve that type of DE?