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How to extract affine terms from a differential equation after linearization?

Vanderpol Eqn:

diff(x[1](t),t)=x[2](t)

diff(x[2](t),t)=(1-x[1](t)^2)*x[2](t)-x[1](t)

 

To be precise, I linearized...


This is the Affine Scaling Algorithm outlined by:

Linear and nonlinear programming with Maple: an interactive, applications ...
Paul E. Fishback,Paul F. Fishback

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