Substitute y = e t into y 00 = 6y 0 9y to show that = 3 is a repeated root. This is
Chapter 5, Problem 5.4.27(choose chapter or problem)
Substitute y = e t into y 00 = 6y 0 9y to show that = 3 is a repeated root. This is trouble; we need a second solution after e 3t . The matrix equation is d dt " y y 0 # = " 0 1 9 6#"y y 0 # . Show that this matrix has = 3,3 and only one line of eigenvectors. Trouble here too. Show that the second solution is y = te3t .
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