Show that if )q, ),2 . and ),3 are distinct roots o r the
Chapter , Problem 69(choose chapter or problem)
Show that if )q, ),2 . and ),3 are distinct roots o r the polynomialt3 + at2 + bt + c, then y = aeJt' + beJ2' + cel.JI is the general solution of y'" + ay" +by' + cy = 0. Him: Express the differential equation as a system of differential equations y' = Ay. and show that is a basis for n3 consisting of eigenvectors of A.
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