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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  • Matrix equation: the vector of derivatives x1'(t), x2'(t) equals a 2 by 2 matrix with entries -a1, 0, a1, -a2, times the vector x1(t), x2(t), plus the vector v1, 0.
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That looks OK, assuming "v1" and "vf" are the same thing.