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Quick math question

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Hey everyone!

 

My question is simple : given a set of simple linear differential equations of the form :

dx1 = f(x1,x2)

dx2 = g(x1,x2),

 

is the Jacobian matrix the same as the coefficient matrix?

 

If this is the case, the Jacobian is only useful in cases where the differential equations are not linear?

 

Thank you!!


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Edited by Walker
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