Question 4: Verify that the given functions are the solutions of the corresponding Integral equations. ) U(x) =! (1+x*) 1 is a solution of Voltera integral equation U(x)%= U(1)dt (1+x*) (ii) U (x) =1-x is a solution of Voltera integral equation X= -je"U()di

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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Question 4:
Verify that the given functions are the solutions of the corresponding Integral equations.
) U(x)=!
(1+x*)
1
is a solution of Voltera integral equation U(x)=-
(1+x)
U (t)dt
1+x
(ii) U (x) =1-x is a solution of Voltera integral equation x=
Je**U (t)dt
Transcribed Image Text:Question 4: Verify that the given functions are the solutions of the corresponding Integral equations. ) U(x)=! (1+x*) 1 is a solution of Voltera integral equation U(x)=- (1+x) U (t)dt 1+x (ii) U (x) =1-x is a solution of Voltera integral equation x= Je**U (t)dt
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