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).

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im not even sure how i would go about trying to solve it with eugene stuff

how would you set up the matrix to determine the values and vectors with?

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