(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

the higher order equation y'' + y = 0 can be written as a first order system by introducing y' as another unknown besides y:

2. Relevant equations

d[y y']^{t}/dt = [y' y'']^{t}= [y' -y]^{t}

if this is du/dt = Au what is 2x2 matrix A?

3. The attempt at a solution

I think it's

[0 1]

[-1 0]

but then I get complex eigenvalues so I am a bit suspicious... could someone verify or help me out?

thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Eigenvectors/values and diff equations

**Physics Forums | Science Articles, Homework Help, Discussion**