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Question 4: Verify that the given functions are the solutions of the corresponding Integral equations. 1 3 is a solution of Voltera integral equation U(x)= (1+x*) 1 1) U(x)=. (1+x²) ¿U(t)dt 1+x

Question 4: Verify that the given functions are the solutions of the corresponding Integral equations. 1 3 is a solution of Voltera integral equation U(x)= (1+x*) 1 1) U(x)=. (1+x²) ¿U(t)dt 1+x

Advanced Engineering Mathematics
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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Question 4: Verify that the given functions are the solutions of the corresponding Integral equations. 1 1 (i) U(x)=- (1+x² ) 3 is a solution of Voltera integral equation U(x)= „U (t)dt (1+x²) (1i) U(x)=1-x is a solution of Voltera integral equation x = U(t) dt (iii) U (x) is a solution of Voltera integral equation o Vx-t (iv) U (x) = x is a solution of Voltera integral equation U(x)= x- | sinh(x -t)U (t) dt 6
Transcribed Image Text:Question 4: Verify that the given functions are the solutions of the corresponding Integral equations. 1 1 (i) U(x)=- (1+x² ) 3 is a solution of Voltera integral equation U(x)= „U (t)dt (1+x²) (1i) U(x)=1-x is a solution of Voltera integral equation x = U(t) dt (iii) U (x) is a solution of Voltera integral equation o Vx-t (iv) U (x) = x is a solution of Voltera integral equation U(x)= x- | sinh(x -t)U (t) dt 6
Find the seselw.nt Kerncs q VIE with froblonaring Kernds kenit)=x-ヒ Koit) =
Transcribed Image Text:Find the seselw.nt Kerncs q VIE with froblonaring Kernds kenit)=x-ヒ Koit) =
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