Question

PLEASE HELP!!!

solution to the linearization around zero of the system

x'=−2x−y−3x^5 y'=9x−2y−x(y^3)

X=
Y=

Answer 1

For linear approximation around zero \[3x^5, x\cdot y^3\rightarrow 0\]:
\[x'=-2x-y \\ y'=9x-2y\]