Solve the following Fredholm integral equations by using the successive substitutions method: 1. u(z) =+ ztu(t)dt-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the following Fredholm integral equations by using the successive substitutions
method:
1
1. u(2) =+
ztu(t)dt-
2. u(x) = 1-
cos ru(t)dt-
Ja
3.
u(2) = +1+ ztu(t)dt-
4. u(z) = cosz+
sin ru(t)dt-
1
tu(t)dt-
7
5. u(2) =+
6. u(x)3D + / 구tu(t)de.
/2
cos zu(t)dt.
Ptu(t)dt.
10
7. u(z) = sin z +
8.
u(z) = 1+5
sin ru(t)dt-
9. u(2) = 1 +
sec z u(t)dt-
10. u(z) = 1+
/3
sec a tan r u(t )dt-
Transcribed Image Text:Solve the following Fredholm integral equations by using the successive substitutions method: 1 1. u(2) =+ ztu(t)dt- 2. u(x) = 1- cos ru(t)dt- Ja 3. u(2) = +1+ ztu(t)dt- 4. u(z) = cosz+ sin ru(t)dt- 1 tu(t)dt- 7 5. u(2) =+ 6. u(x)3D + / 구tu(t)de. /2 cos zu(t)dt. Ptu(t)dt. 10 7. u(z) = sin z + 8. u(z) = 1+5 sin ru(t)dt- 9. u(2) = 1 + sec z u(t)dt- 10. u(z) = 1+ /3 sec a tan r u(t )dt-
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