7 10/16 F

1. 2.19 b, d, h. (DuChateau & Zachmann). In each case,
   • Show a picture of the different regions in the $x,y$-plane.
   • State in what regions would you have boundary value problems, and in what regions you would have initial value problems.
   • State in what regions singularities would be smoothed, and in what regions they would be propagated.

2. 2.20.

3. Notes 18.6.2.1

4. 2.24. Show the complete transformed equation, fully converted to the new coordinates $(\xi_1,\xi_2,\xi_3)$. (No remaining $x$, $y$, or $z$ allowed.)