Question: How to extract affine terms from a differential equation after linearization

October 24 2012 vineetloya 15
Maple 16

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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 a vanderpol equation at a linear point (without giving equilibrium point), the solution obtained was in differential form. I want to get the output in terms of matrices including affine term.
Please note that, I got the statespace of the above eqn by adding 'checkpoint=false' as an optional input to 'linearize' but the solution does not contain the affine term. Is there any way I can get an affine(const) term from the statespace or get the output linear matrices from the differential eqn form?

I appreciate your help!

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