Classify the following equations as Fredholm, or Volterra, linear or nonlinear, and homogeneous or inhomogeneous -√²(x - 1)²u(t)dt 1. u(x) = 1 + - 3. u(x) = √² (2+ (2+x- t)u(t)dt

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Exercises 2.3
Classify the following equations as Fredholm, or Volterra, linear or nonlinear, and
homogeneous or inhomogeneous
-1. u(x) = 1 +
(x - 1)²u(1)dt
-
3. u(x) = : 1 (2 + x - t)u(t)dt
Transcribed Image Text:Exercises 2.3 Classify the following equations as Fredholm, or Volterra, linear or nonlinear, and homogeneous or inhomogeneous -1. u(x) = 1 + (x - 1)²u(1)dt - 3. u(x) = : 1 (2 + x - t)u(t)dt
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