# Mathematica: Second order PDE

1. Dec 19, 2012

### Sue Laplace

Hello!
I am trying to solve the following second order PDE (copy that into mathematica):

\!$$\*SubscriptBox[\(\[PartialD]$$, $$x, t$$]$$\[Delta][x, t]$$\) + b \!$$\*SubscriptBox[\(\[PartialD]$$, $$t$$]$$\[Delta][x, t]$$\) + a \!$$\*SubscriptBox[\(\[PartialD]$$, $$\(x$$$$\$$\)]$$\[Delta][x, t]$$\) == 0

where a and b are (real) constants and x and t both run from 0 to infinity

My bc is \[Delta][0, t] == k, where k is any (real) constant.
My ic is \[Delta][x, 0] == 0.

(Obviously there is a slight ambiguity going on there at x=0 at t=0.)

Well.. I can't seem to do it using either DSOLVE or NDSOLVE

Thanks in advance for any help,
Sue