Use the modified decomposition method to solve the following Volterra integral equa- tions

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the modified decomposition method to solve the following Volterra integral equa- tions
x
13. u(x) = seca² − (1 — etana) x − x [²
-
e
14. u(x) =
=
tan t
X
cosh x + (1 - esinh x) +
X
+
2 0
tu(t)dt
x
Joº
sinh tu(t)dt
Transcribed Image Text:x 13. u(x) = seca² − (1 — etana) x − x [² - e 14. u(x) = = tan t X cosh x + (1 - esinh x) + X + 2 0 tu(t)dt x Joº sinh tu(t)dt
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