Consider a set of ODES: dx = 5.x + 3y 2et +1 dt %3D |...

 

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Consider a set of ODES: dx = 5.x + 3y – 2et +1 dt %3D | dy = -x + 9z +e-t – 5t + 7 dt %3D | dz = y + 6z – e-t dt • Write the system into matrix-vector form, i.e., X = AX +F. • Solve the systcm using a convenicnt tcchniquc. Consider a set of ODES: dx = 5.x + 3y – 2et +1 dt %3D | dy = -x + 9z +e-t – 5t + 7 dt %3D | dz = y + 6z – e-t dt • Write the system into matrix-vector form, i.e., X = AX +F. • Solve the systcm using a convenicnt tcchniquc.