Differential Equation system and matrix

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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 v1 = vf and v2 = 0