Differential Equations

Jomo

Elite Member
Joined
Dec 30, 2014
Messages
10,368
Here we go again. Asking for help with solving a problem and asking someone to solve a problem for you are not the same.
This forum is not a homework service site. It is a help site.

You really should have read the posting guidelines. If you had, you would have read that in order to receive help from this forum you need to show your work or at least state why you don't know how to even start the problem. If you show your work, then the helpers here know which method you want to use to solve the problem and where you might have made an error.

Please post back showing your work so we can help you. That is why we are here.
 

JeffM

Elite Member
Joined
Sep 14, 2012
Messages
6,296
Hint 1: There is an obvious trivial solution, namely y = 0.

Hint 2: What do you know about characteristic equations?

Please show your work.
 

HallsofIvy

Elite Member
Joined
Jan 27, 2012
Messages
7,453
For (3) the characteristic equation is \(\displaystyle r^4- 2r^2- 5r+ 6= 0\). Can you solve that? Do you know what to do with the roots?

For (4) do you know what "matrix notation" is?
 
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