Question: (a) Verify that the given functions satisfy the system, (b) Form a fundamental matrix 22(1) for the system, (c) Write the general solution in

(a) Verify that the given functions satisfy the system, (b) Form a fundamental matrix 22(1) for the system,

(a) Verify that the given functions satisfy the system, (b) Form a fundamental matrix 22(1) for the system, (c) Write the general solution in the form 22(1)C, carry out this product and verify that the rows 12(1)C are the components of the given solution and (d) Find the unique solution satisfying the initial conditions. x = 2x + xx=-3x +6x. X (1)=ce" cos(1)+ce" sin(1) x(1)=2ce [cos(t)- sin(t)] +2cze [cos(1)+sin(f)]. x (0)=-2. x (0)=1

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