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Chapter 6: Q13E (page 337)

find a differential operator that annihilates the given function.

e-7x

Short Answer

Expert verified

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

Step by step solution

01

Differentiate the function continuously

Let the function bef(x)=e-7x

Then

f'(x)=-7e-7x=-7f(x)鈬�f'(x)+7f(x)=0

Hence(D+7)[f]=0

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

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