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Please show the full steps in order for me to easily understand, thanks. Q12: Consider the system x'(t) = 293' (310) y, (t) = eXCt)+Y(t)

Please show the full steps in order for me to easily understand, thanks.

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Q12: Consider the system x'(t) = 293' (\"310) y, (t) = eXCt)+Y(t) Find the equation of the trajectory that passes through the point (ln(2),3), and write it in the form y = f (x). 013: Consider the system x'(t) = 2y(t) y'(t) = W) + W) Identify the type of the critical point and sketch the phase portrait of this system

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