In 5(x), the spike shifts to x = . It is the derivative of = shifted step U(x-1). The integral of v(x)d(x − ‡) equals e value of v at x=+. Compute (b) f' e*d(x − 1)dx; (a) ſ', 8(x − ‡)dx; (c) 5¹, 8(x)(x - 1)dx.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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show full and complete procedure. this has to do with the dirac-delta function 

48 In 5(x-1), the spike shifts to x = . It is the derivative of
the shifted step U(x-1). The integral of v(x)(x-1) equals
the value of v at x = . Compute
(a) f' 8(x − 4)dx;
(c) ſ'¹_, 8(x)8(x − ‡)dx.
-
(b) fe*8(x - 1)dx;
Transcribed Image Text:48 In 5(x-1), the spike shifts to x = . It is the derivative of the shifted step U(x-1). The integral of v(x)(x-1) equals the value of v at x = . Compute (a) f' 8(x − 4)dx; (c) ſ'¹_, 8(x)8(x − ‡)dx. - (b) fe*8(x - 1)dx;
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