In exercises 1-10, classify each of the following integral equations as Fredholm orVolterra integral equation, linear or nonlinear, and homogeneous or nonhomogeneous:(1) u(x) = x +(2) u(x) = 1 + x² + √(x − t)u(t) dt-(3) u(x) = e² + ² tu²³ (t) dt3(6) u(x) = ²So(4) u(x) = f (x - t)² u(t) dt(5) u(x) = ²/2 + (¹xtu(t) dt(7) u(x) = 1 +xtu(t) dt(10) u(x) =1x+ 5+x3 6(x-1)³ u(t) dt1= 1-1x+tu(t)/0(8) u(x) = = = cos x + ²/2 √² cos x u(t) dt[²* (x − 1)² u² (1) dt(9) u(x) = 1 +10dt- 5²(x - t)u(t) dt

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Answered: In exercises 1-10, classify each of the…

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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