1. Show that the following function is a representation of the function : 51/E F(x, e) = 3 otherwise

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Show that the following function is a represent
representation
of the function :
F(x,e) =
- ELX LE/
1/6
O otherwise
Transcribed Image Text:1. Show that the following function is a represent representation of the function : F(x,e) = - ELX LE/ 1/6 O otherwise
Expert Solution
Step 1

We need to show that the given function,

F(x,ε) = 1ε , -ε2<x<ε20 , otherwise.........(1)

is a representation of the δ-function which is defined as,

for a set A,

δ(x)=1 , if xA0 , if xA.......(2)

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