anonymous
  • anonymous
Find the solution to the linearization around zero of the system x'=-x-4y-2x^2, y'=16x-y-xy^5. Initial conditions: x(0)=0.7, y(0)=0.8. I attempted to solve it by finding the Eigenvalues and eigenvectors, but I'm not sure what to do when I have imaginary eigenvalues. My eigenvalue is sqrt(65) and -sqrt(65).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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amistre64
  • amistre64
im not even sure how i would go about trying to solve it with eugene stuff
amistre64
  • amistre64
how would you set up the matrix to determine the values and vectors with?
anonymous
  • anonymous
I just realized that I made a mistake as I was typing my response...I'll try again and see what I get. It might not be imaginary after all.

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amistre64
  • amistre64
cool, afterwards you might be able to teach me a thing or two ;)
amistre64
  • amistre64
i just found out from a similar post that the order that you line up the column vectors matters ....
anonymous
  • anonymous
I just got the signs of one of the numbers wrong.
anonymous
  • anonymous
The eigenvalues I got were -1+16 and -1-16.

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