Recent content by root45

Thanks so much for responding. I'm confused a little about the conclusion. If x(g(xy) - f(xy)) only depends on y, what does that mean for the solution? From the condition on exactness, I guess it means that x^2y(f'(xy) - g'(xy)) only depends on y, but I don't see how that helps. Sorry for my...

Homework Statement Let M(x,y) = yf(xy) and N(x,y) = xg(xy), where f(v) and g(v) are functions of a single real variable v, defined and continuously differentiable for all real values of v. Under what conditions on f and g is the form Mdx + Ndy exact for all values of x, y in the plane? In that...