# To get a feel for higher order ODEs, show that the given functions are solutions and form a basis on any interval. Use Wronskians. In Prob. 6, x > 0, e -4x , xe -4x , x 2 e -4x , y' + 12y + 48y' + 64y = 0

Chapter 3, P R O B L E M S E T 3 . 1 #4

To get a feel for higher order ODEs, show that the given functions are solutions and form a basis on any interval. Use Wronskians. In Prob. 6, x > 0,

e^{-4x}, xe^{-4x}, x^{2}e^{-4x}, y"' + 12y" + 48y' + 64y = 0

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