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Differential EquationsEasyNonlinear Systems & Linearization

Nonlinear Systems & Linearization · Easy problem

For the system x′=x+y2,  y′=x2−3yx' = x + y^2,\; y' = x^2 - 3y, compute the divergence ∂f∂x+∂g∂y\dfrac{\partial f}{\partial x} + \dfrac{\partial g}{\partial y} of the vector field (f,g)(f, g). (It is the same at every point.)