Hi, I am having trouble with these questions and any help would be appreciated.

Q1) Find the regions in the xy plane where the equation is elliptic,hyperbolic, or parabolic. Also sketch them.

$\displaystyle (1+x)yu_{xx}+2xyu_{xy}-xyu_{yy}=0$

Q2) Same as q1 but the equation is:

$\displaystyle (1+x)u_{xx}+2xyu_{xy}-y^2 u_{yy}=0$

Thanks