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Question: exercise 1 given is the following system of first order...

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EXERCISE 1: Given is the following system of first order inear differentialequations with constant coef- ficients: (t) +2x2(t)-n(t) = 4e dt da2 dt (t) + z2(t)-n(t) = et with initial conditions x1(0-7 and x2(0) = 5. The homogeneous solution and particular solution of the system are given by bi Zgorn(t) = (a) cos(t) + C) sin(t) par(t) (c) Determine the unknown constants ci and c2 by substituting the particular solution into the system of differentialequations (d) Determine the specific solution of the system using the initial conditions

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