/sci/ - Science & Math

File: 43 KB, 100x100, 132894.gif [View same] [iqdb] [saucenao] [google]

Anonymous Tue Mar 25 22:15:16 2014 No.6438588 [Reply] [Original]

the following is a coupled linear system:

{dx/dt = 3x - 12y + 48z
dy/dt = -30x + 105y - 408z
dz/dt = -8x + 28y - 109z
}

I have to find the general solution to that.

I got MATLAB to give me the eigen vectors.

but i don't know what do now. i have a suspicion it has something to do with some identity and sines and cosines.

pls help, I'm so confus ):

>>	Anonymous Tue Mar 25 22:17:15 2014 No.6438593 pls, /sci/, pls

>>	Anonymous Tue Mar 25 22:24:45 2014 No.6438604 >>6438588 diagonalize the matrix fool eigen vectors give you a nice transformation matrix

>>	Anonymous Tue Mar 25 22:24:45 2014 No.6438605 >I got MATLAB to give me the eigen vectors Rewrite (x,y,z) in terms of the eigenvectors, multiplied by exp{eigenvalue * t}. Also sage for homework

>>	Anonymous Tue Mar 25 22:32:45 2014 No.6438624 >>6438605 thx u

Advanced search
Text to find
Subject [?]Search by post subject. Leave empty for any.
Username [?]Search for user name. Leave empty for any user name.
Tripcode [?]Search for tripcode. Leave empty for any.
Email [?]Search by email. Leave empty for any.
Filename [?]Search by image filename. Leave empty for any.
From Date [?]Enter what date to start searching from. Format is YYYY-MM-DD
To Date [?]Enter what date to start searching until. Format is YYYY-MM-DD
Image hash
Search in	All Posts OPs Only
Deleted posts	Show all posts Show only deleted posts Only show non-deleted posts
Internal posts	Show all posts Show only internal posts Show only archived posts
Order	New posts first Old posts first
Capcode	All Posts Only by Users Only by Mods Only by Admins Only by Developers
Results	Posts Threads
Action	[ Simple ]