Register to reply

Solving a systems of differential equations in terms of x(t) and y(t)

by Intervenient
Tags: differential, equations, solving, systems, terms
Share this thread:
Intervenient
#1
Feb22-12, 12:50 AM
P: 49
1. The problem statement, all variables and given/known data

x' ={{-1,1},{-4, 3}}*x, with x(0) = {{1},{1}}

Solve the differential equation where x = {{x(t)}, {y(t)}}

2. Relevant equations



3. The attempt at a solution

I have e^t*{{1},{-2}} + e^t*{{t},{2t+1}}

but I'm not sure how to get it in terms of what it's asking.





Edit: Please quick if you know how to do it. It's due at 4 AM :/ Crazy week on my end.
Phys.Org News Partner Science news on Phys.org
'Smart material' chin strap harvests energy from chewing
King Richard III died painfully on battlefield
Capturing ancient Maya sites from both a rat's and a 'bat's eye view'
sunjin09
#2
Feb22-12, 03:06 PM
P: 312
x'=Ax is solved by solutions of the form x(t)=x0e^{λt} where x0 is some initial vector, not the form you gave. You need to find out x0 and λ. I've seen this question quite a few times recently


Register to reply

Related Discussions
Solving Systems of Linear Differential Equations Calculus & Beyond Homework 3
Solving Systems of Linear Differential Equations Differential Equations 2
Solving systems of equations >2 simultaneous Calculus & Beyond Homework 8
Iterative methods for solving systems of linear differential equations Linear & Abstract Algebra 5
Solving systems of equations Introductory Physics Homework 11