Suppose L is a polynomial differential operator of order 2 and L(te3t) = 5e3t , L(e3t) = 0, and L(e −2t) = 0. Use this information to find other solutions to L(y) = 5e3t .
Suppose L is a polynomial differential operator of order 2 and L(te3t) = 5e3t , L(e3t) = 0, and L(e −2t) = 0. Use this information to find other solutions to L(y) = 5e3t .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Question
Suppose L is a polynomial differential operator of order 2 and L(te3t) = 5e3t
, L(e3t) = 0, and
L(e
−2t) = 0. Use this information to find other solutions to L(y) = 5e3t
.
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