Question: Take the system x ' = 9 x 2 + 1 0 y 2 + 5 x y , y ' = e 9 x

Take the system x'=9x2+10y2+5xy,y'=e9x+10y2.
The Jacobian matrix is
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Take the system x ' = 9 x 2 + 1 0 y 2 + 5 x y , y

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