(a) Show that
Thus show that if
This is called the exponential shift.
(b) Use (a) to show that
(c) Replace
This is called the inverse exponential shift.
(d) Using (c), we can change a diff5erential equation whose right-hand side is an exponential times a polynomial, to one whose right-hand side is just a polynomial. For example, consider
Show that a solution of
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