5 02/15 F

1. 2.19b, h.
2. 2.20.
3. 2.21, in 3D space.
4. 2.23. Reduce to canonical form by rotating the coordinate system. What is the angle the coordinate system must be rotated over?
5. 2.24.
6. Using the class formulae, completely convert the full problem 2.24 to the new coordinates.
7. 2.25, give the full equation
8. Get rid of the first order derivatives in the problem 2.25 by defining a new unknown $v=u/e^{\alpha\xi+\beta\eta+\gamma\theta}$ where $\xi,\eta,\theta$ are the rescaled coordinates and $\alpha$, $\beta$, and $\gamma$ are constants to be found from the condition that the first order derivatives disappear.