2. Consider the homogenous system of differential equations given by: 2 1 x' =(²6_¹¹)* a. Find two solutions to this system. b. Verify that the two solutions you found are fundamental solutions. You must check that the solutions are linearly independent. c. Write the general solution. d. Sketch a phase portrait of the general solution. e. Given the initial condition: x(0) = (2 1)¹ find the coefficients c₁ and c₂. f. Graph out components x₁ (t) and x₂ (t).

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