I have this system of DEs, but after getting through all the simplifications I can't factor the auxiliary equation:(adsbygoogle = window.adsbygoogle || []).push({});

x_{1}' = -2x_{1}+ x_{2}+ x_{3}

x_{2}' = x_{1}- x_{2}+ 3x_{3}

x_{3}' = -x_{2}- 3x_{3}

Then I eliminated all variables except for x_{2}, using Differentiation operator.

my AE from x_{2}is this:

r^{3}+ 6r^{2}+ 12r + 12 = 0

And I'm stuck!

thank you in advance.

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

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!

# Homework Help: Systems of DEs

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