A times (-1,-1,1) i (incorrectly) did:
1x-1 + 0x-1 + 2x-1
0x-1 + 1x-1 + 2x-1
2x 1 + 2x 1 + 3x 1
resulting in (-3,-3,7)
which is incorrect.
i know how to do it now, thanks ehild and lanedance.
shouldve remembered this from years ago...
eigenval/vect question, double check my answers, dont make sense.............
find eigenvalues and eigenvectors of matrix A =
A -λI etc blah
The Attempt at a Solution
I'm getting λ = 1, -1, 5.
For λ = 1, v = (-1,1,0)t (t...
ok found some stuff in my notes.
i think the du/dx (0,y) = 0 line tells you that something is insulated.
i've done some question in my book (obviously lecturer has done it and i was merely copying it, lol), and i have written down:
uxx + uyy = 0
u(0,y) = 0
u(a,y) = 0
u(x,0) = x (maintain...
ehh my head's not working, i should go to bed soon.
question 4. no clue.
H and L are just arbitrary points on the y and x axis respectively, i presume..
what do each of those initial constraints mean, please?
and how do i know what is insulated?
this is my working out:
i sort of figured out how to do this a few mins ago lol. it doesnt seem too hard.
it's sort of like... multiplying the first number in the matrix A by it's position in the matrix (x1 * x1) which is basically the coordinates of the value...
yeah that too!
ok particular solution, this one i'd have to guess depending on what f(x) is (which i've never learnt how to do lol). method of undetermined coefficients, i think it is.
my guess, something related to a trig function because we have a couple of sine's in f(x)?
so according to...