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Second order DE in matrix form...

by teapsoon
Tags: form, matrix, order
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teapsoon
#1
Nov29-09, 11:37 PM
P: 1
1. The problem statement, all variables and given/known data

Consider the differential equation \bold{x}'=\left[ \begin{array}{cc} -1 & 2 \\ -1 & -3 \end{array} \right]\bold{x}, with \bold{x}(0)=\left[ \begin{array}{c} 1 \\ 1 \end{array} \right]

Solve the differential equation where \bold{x}=\left[ \begin{array}{c} x(t) \\ y(t) \end{array} \right].

solving for the x vector and y vector

2. Relevant equations



3. The attempt at a solution
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Mark44
#2
Nov30-09, 12:25 AM
Mentor
P: 21,297
Quote Quote by teapsoon View Post
1. The problem statement, all variables and given/known data

Consider the differential equation [tex]\bold{x}'=\left[ \begin{array}{cc} -1 & 2 \\ -1 & -3 \end{array} \right]\bold{x}[/tex], with [tex]\bold{x}(0)=\left[ \begin{array}{c} 1 \\ 1 \end{array} \right][/tex]

Solve the differential equation where [tex]\bold{x}=\left[ \begin{array}{c} x(t) \\ y(t) \end{array} \right][/tex].

solving for the x vector and y vector

2. Relevant equations



3. The attempt at a solution
I added [ tex] and [/ tex] tags (without leading spaces inside the brackets).

What have you tried? Do you have any ideas for how you might solve this system of equations?


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