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Solve the differential equation Y’(t) = AY(t), with initial condition Y(0) = [1;0] (a 2x1 matrix);...

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Advance Math

Solve the differential equation Y’(t) = AY(t), with initialcondition Y(0) = [1;0] (a 2x1 matrix); where A = [ 9 , 5 ; -6 , -2]. Then, using Euler’s method with step size h=.1 over [ 0 , .5 ]fill in the table with header where the 2x1 matrix Yi is theapproximation of the exact solution Y(ti) :
t Yi Y(ti) ||Y(ti) – Yi ||

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