5. There is a distribution such that (x)u(x)dx = xu(x)dx

Write (x) as a sum of Delta derivatives, ordinary functions, and Dirac Delta functions.

Note: = (3) + (2) + e^(x) is incorrect.

6. The equation uxx + 2uux = (x). If you were solving this equation piecewise, what jump conditions would you need to use at x = 0 to make u a weak solution?