Question: Please show the work 6. X1 = and X2 = > are solutions to the homogeneous system x'= 93 x (a) Prove the solutions are

Please show the work

6. X1 = and X2 = > are solutions to the homogeneous system x'= 93 x (a) Prove the solutions are linearly independent using the Wronskian. (b) Use Variation of Parameters to find one particular solution of the nonhomogeneous sys- tem X' = _ remark: You must show the results of your steps in the calculation of the formula. I showed in class my expectations here. You may use wolframalpha for the steps in the manner I showed in class. (c) State the general solution to the nonhomogeneous system in part b. (d) Find the solution if X(0) = 3, 7. Consider the system X' = 2 2 X (a) Use the Laplace Transform approach to computing matrix exponentials to find a funda- mental set of solutions. (b) State the general solution

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