Question: linearization of an ODE

Dear Maple-experts,

 

is there a function which returns the linear parts of an ODE?

So for example for the ODE:

 

ODE:= diff(x(t),t) + 3*x(t) + diff(x(t),t)*x(t)

which gives

diff(x(t),t) + 3*x(t).

 

My ODE is so large, that this cannot be done by hand.

 

Thank you very much,

Peter

 

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