If we have some coordinate system $(x,y,z)$ with $\mathbb{R}^3 =M$ for some manifold $M$ how do we find the Lie derivative of some $$\Lambda=\frac{x+y}{x-y}dx\wedge dy\wedge dz$$
$1-$form seems to be straight forward with the application of the formula, but $3-$ forms, doesn't seem so obvious. I would appreciate the help.
$$\mathcal L_{X}\bigg(\frac{x+y}{x-y}dx\wedge dy\wedge dz\bigg)=\iota_X(d\Lambda)+d\iota_X (\Lambda)$$
First we compute the $d\Lambda$ term which is given by: $$d\bigg(\frac{x+y}{x-y}dx\wedge dy\wedge dz\bigg)=(\phi dx + \psi dy)\wedge dx\wedge dy\wedge dz$$ Then just compute the interior product of this differential form for the part $\iota_X(d\Lambda)?$