Differential Equation system and matrix

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Discussion Overview

The discussion revolves around converting a system of differential equations into matrix form. Participants are examining the correctness of the representation of the equations and the relationships between variables.

Discussion Character

  • Technical explanation

Main Points Raised

  • One participant presents a system of differential equations and asks for confirmation on their matrix representation.
  • Another participant agrees that the representation is correct.
  • A third participant notes that the correctness assumes that "v1" and "vf" refer to the same variable.
  • A later reply clarifies that "v1" equals "vf" and specifies that "v2" is equal to 0.

Areas of Agreement / Disagreement

There is general agreement on the correctness of the matrix representation, but there is a conditional agreement based on the assumption regarding the variables "v1" and "vf".

Contextual Notes

The discussion does not clarify the definitions of the variables or any assumptions related to the parameters involved in the equations.

Tala.S
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I have a quick question.
I have to write the differential equations in matrix form

Eq1:= x1'(t) = -a1*x1(t) + vf

Eq2:= x2'(t) = a1*x1(t) - a2*x2(t)

is this correct :
 

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yes, it is
 
That looks OK, assuming "v1" and "vf" are the same thing.
 
yes v1 = vf and v2 = 0
 

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