wave equation on half-line! ahhhhhhh

[Sarahisme]

lol my head is about to explode!

 

i think this is similar to a previous question i asked but i can't quite get it none the less...

 

 

now what i did was to following this :

 

 

then using equations (31) & (32) from that i just plugged in the values and got:

 

u(x,t) = 1 for x > ct and u(x,t) = 0 for 0 < x < ct

 

how does this look to you intelligent mathematically inclined people? :S

 

Sarah

[Sarahisme]

but then how do you find a singularity when you have an answer of 1 and 0? :S