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Q13E

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Fundamentals Of Differential Equations And Boundary Value Problems

Found in: Page 337

Book edition 9th

Author(s) R. Kent Nagle, Edward B. Saff, Arthur David Snider

Pages 616 pages

ISBN 9780321977069

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Short Answer

find a differential operator that annihilates the given function.
$e^{- 7 x}$

$D + 7$ is the differential operator that annihilates the given function.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Differentiate the function continuously

Let the function be $f (x) = e^{- 7 x}$

Then

$f' (x) = - 7 e^{- 7 x} = - 7 f (x) \Rightarrow f' (x) + 7 f (x) = 0$

Hence $(D + 7) [f] = 0$

Then $D + 7$ is the differential operator that annihilates the given function.

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Fundamentals Of Differential Equations And Boundary Value Problems

Answers without the blur.

Short Answer

find a differential operator that annihilates the given function.
$e^{- 7 x}$

Step by Step Solution

Step 1: Differentiate the function continuously

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Fundamentals Of Differential Equations And Boundary Value Problems

Answers without the blur.

Short Answer

find a differential operator that annihilates the given function.e-7x

Step by Step Solution

Step 1: Differentiate the function continuously

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find a differential operator that annihilates the given function.
$e^{- 7 x}$