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
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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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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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