Question

http://math.stackexchange.com/questions/927336/using-separation-of-variables-to-solve-u-tt-16u-xx-ux-t

Answer 1

so I'm just stuck at this one... area like I know how to separate into different equations and I got the answer to one of them but then I am stuck @dan815 @ganeshie8

Answer 2

repeat same process to that other 2nd order ode

Answer 3

16 f'' - fv=0
f=e^rx
e^(rx)(16r^2-lamba)=0
e^(rx) canot be zero so we have
(16r^2-lamba)=0
r=sqrt(lamba/16)

Answer 4

umm for your solutions are u sure they arent doing like lamba = alpha^2

Answer 5

they could be? but that's ...........for absolute value and getting rid of the negatives

Answer 6

see my edit on the url

Answer 7

ok ya thats right just do the 3 cases now

Answer 8

Lamda=0
Lambda=-alpha^2 <0
Lambda=alpha^2 >0

Answer 9

oh so I have to set lambda to 0 and then suppose lambda is <0 then lalasfjkdaslfjdsfjdfsdklf

Answer 10

wouldn't I just have constants if my lambda is 0?

Answer 11

anyway I need to go to bed. I'll continue this tomorrow. I have attempted those variables and I need to finish up on something when I come home. night

Answer 12

okay i gotta get ready for class