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, x2e-4x, y"' + 12y" + 48y' + 64y = 0
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Answer
From the general solution, y = A(x) + B(x)e-4x for x > 0, we have y\' + 12y" + 48…View the full answer
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