: Define linear Volterra integral equations of the first and second kinds. Show that the function g(x) = (1+x²) -3/2 is a solution of the Volterra integral equation 1 dt 1+x² g(x) = = t - 1 + x²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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g(x) = (1+x²)
1
1+x²
g(x)
: Define linear Volterra integral equations of the first and second kinds. Show that the function
-3/2
is a solution of the Volterra integral equation
=
t
0 1 [ + x²
So
8(t) dt.
Transcribed Image Text:g(x) = (1+x²) 1 1+x² g(x) : Define linear Volterra integral equations of the first and second kinds. Show that the function -3/2 is a solution of the Volterra integral equation = t 0 1 [ + x² So 8(t) dt.
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