I haven't done basic integrals for awhile...but just wondering how you would integrate the following functions without looking it up in the integral table.
(x^2+a^2)^(-3/2) where a is a constant.
Thanks!
i used a unit cube.
with one diagonal at (0 0 1) (1 1 0)
the other diagonal at (0 0 0) (1 1 1)
but it doesn't work, hmmm...for a sec i thought i did get it.
the question is asking us to solve this nonhomogeneous problem:
Utt = Uxx + sin(x)sint(t)
and I think in one step of the calculations, we need to find the general solution of sin(x)sin(t) along with the particular solution.
Or is there another way to approach this question?
I have a nonhomogeneous DE and wants to find the particular solution for Asin(x)sin(t)
Is there any tips in using method of undetermined coefficient to guess the particular solution of this?
Sorry, that was just a little assumption I made, matt grime.
i guess i should learn to start linking all my math concepts from the two types courses together.
The original question says that the 3 orthogonal functions are with respect to the weight function 1 on the interval [-1,1]
So if i were to rewrite the 3 functions in terms of vectors, would they become like this?
0 0 1 <-- 1
0 1 0 <-- x
3 0 -1 <-- 3x^2-1
so 1st vector would be
0
0
3
?
:bugeye: I'm not a very wordy person and I learn from seeing equations and numbers and examples, I guess it's kinda hard to explain it like that. Thanks for your help, I'll think about it for now.
according to my notes, it says that a system of orthogonal functions w.r.t. weight q of [a, b]...