Find A to change y 00 = 5y 0 +4y into a vector equation for u(t) = (y(t),y 0 (t)): du dt
Chapter 5, Problem 5.4.23(choose chapter or problem)
Find A to change y 00 = 5y 0 +4y into a vector equation for u(t) = (y(t),y 0 (t)): du dt = " y 0 y 00# = " #"y y 0 # = Au. What are the eigenvalues of A? Find them also by substituting y = e t into the scalar equation y 00 = 5y 0 +4y.
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