Calculate the convolution (f+g)(x) of the following functions f(x) and g(x): 0 (x < 0) f(x) = = {²-² 0 (x < 0) (0 ≤ x), g(x)=x e-¹ (0 ≤ x ≤ 1) (1

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Calculate the convolution (f + g)(x) of the following functions f(x) and g(x):
0 (x < 0)
So (x < 0)
f(x) =
>-{-x
g(x)=x
(0 ≤ x),
0 (1 < x).
Then, draw the graphs of functions f(x) and g(x), and convolution (f + g)(x).
(0 ≤ x ≤ 1)
Transcribed Image Text:Calculate the convolution (f + g)(x) of the following functions f(x) and g(x): 0 (x < 0) So (x < 0) f(x) = >-{-x g(x)=x (0 ≤ x), 0 (1 < x). Then, draw the graphs of functions f(x) and g(x), and convolution (f + g)(x). (0 ≤ x ≤ 1)
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