5. Consider the following system of differential equations *' - (-)* + (1)- 3 (a) (5...

  

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5. Consider the following system of differential equations *' - (²-¹)* + (1)- 3 (a) (5 points) Write down the fundamental matrix, and show that the solutions you found in (a) form a fun- damental set of solutions. (b) (5 points) Find the general solution. (c) (5 points) Suppose x(0) = (3) Determine the solution to the initial value problem. 5. Consider the following system of differential equations *' - (²-¹)* + (1)- 3 (a) (5 points) Write down the fundamental matrix, and show that the solutions you found in (a) form a fun- damental set of solutions. (b) (5 points) Find the general solution. (c) (5 points) Suppose x(0) = (3) Determine the solution to the initial value problem.