Folks,

Can anyone assist in solving the attached question?

I believe the PDE is ellipitic becasue B^2-AC = 0 -(1)(1)<0 implies elliptic.

Therefore we can write

$\displaystyle \displaystyle \frac{dy}{dx}=\frac{0\pm \sqrt{0-AC}}{A}=\pm i $

Therefore I choose y-ix = Const. From this I choose new variables with s(x,y)= y and t(x,y)=-x

Not sure what to do after this