This preview shows page 1. Sign up to view the full content.
Unformatted text preview: x . Therefore, the composite operator D 2 ( D 3) = ( D 3) D 2 annihilates both functions and, hence, there sum. (c) The function x sin 2 x is of the form given in (iv) on page 334 of the text with m = 2, = 0, and = 2. Thus, the operator ( D 0) 2 + 2 2 2 = ( D 2 + 4 ) 2 annihilates this function. (d) We again use (iv) on page 334 of the text, this time with m = 3, = 2, and = 3, to conclude that the given function is annihilated by [ D ( 2)] 2 + 3 2 3 = ( D + 2) 2 + 9 3 . 386...
View
Full
Document
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

Click to edit the document details