help! : wave equation on half-line! ahhhhhhh

[sarahisme]

lol my head is about to explode! :P

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

[zaza]

And what do you get when x = ct?


zaza

[sarahisme]

And what do you get when x = ct?


zaza

ah right, of course! :P thats where you get a singularity because you jump from 0 to 1!