Let F(x, y) = 4x + 5ye i + 5y cos y + 5xe j.

> P := (x, y)− > 4 ∗ x^2 + 5 ∗ y ∗ exp(x ∗ y);

> Q := (x, y)− > 5 ∗ y ∗ cos(y) + 5 ∗ x ∗ exp(x ∗ y);

> diff(Q(x, y), x) − diff(P(x, y), y);



Is the vector field F conservative? (YES or NO)

Hi all,

I have a relatively simple question that you can do by hand, but I want to know, if it is possible for MAPLE to compute directly with a single command if any 2 vector functions do intersect.

eg. r(t) = <cos t, sin 2t, exp(t)> s(t) = <sin t, cos t, exp(t)> ,  -2 < t < 2

thanks in advance