# 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, 1, e -x cos 2x, e -x sin 2x, y' + 2y + 5y' = 0

Chapter 3, P R O B L E M S E T 3 . 1 #5

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,

1, e^{-x} cos 2x, e^{-x} sin 2x, y"' + 2y" + 5y' = 0

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