To get a feel for higher order ODEs, show that the given functions are solutions and form
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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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From the general solution y Ax Bxe4x for x 0 we have y 12y 48y 64y 0 and ...View the full answer
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