6 02/22 F

1. 2.22b,g. Sketch the characteristics.
2. 2.27a,b. Just give the characteristic coordinates, not the transformed equation.
3. 2.28d. First find a particular solution. Next convert the remaining homogeneous problem to characteristic coordinates.
4. Now solve the transformed PDE just like we did in class for the wave equation; by first solving for a first order derivative (which one?) and then integrating that derivative. Transform back to find $u$ as a function of $x$ and $y$.
5. 2.28f. In this case, leave the inhomogeneous term in there, don't try to find a particular solution for the original PDE. Transform the full problem to characteristic coordinates.
6. Now solve the transformed equation and transform back.