Solving for non moving points of a 1-D wave

[jianxu]

yes heh, considering I don't know how to get maple to do anything correctly, what are some alternatives to find the roots? Thanks

 

[gabbagabbahey]

Well, the expression In post #18 is fully factored...that means that the roots of the ugly factor are going to be difficult to find...BUT! you don't need to find them because they will all depend on $\beta$, whioch means they will only be roots for certain values of $t$, and as I said in post #28, that means that those roots are not stationary points...do you not understand this?

 

[jianxu]

yes but...so am I suppose to say that even though they seem to be stationary, that's not the case since they will be dependent on beta?

 

[gabbagabbahey]

Why do you say "they seem to be stationary"?

 

[jianxu]

That's because we were to graph 10 plots at various t, I decidedly went t=1..10 and from the graphs the roots looked stationary

Also I had the impression that the problem would've been simpler in terms of all the trig stuff...

 

[gabbagabbahey]

Oh...try graphing it for t=0.2 and t=0.4...do they still look stationary?

 

[jianxu]

It definitely does not. So I did a bad job in choosing the appropriate time interval then? My graphs definitely made me think I'd be getting answers for nonmoving x values...

 

[jianxu]

regardless... Thank you very much for being so patient. It makes sense how you approached this problem now. once again, Thanks! :P