(a) Prove that the solution to the linear integral equation solves the linear initial value problem du/dt...

Question:

(a) Prove that the solution to the linear integral equation

solves the linear initial value problem
du/dt = k(t) u(t),u(0) = a.
(b) Use part (a) to solve the following integral equations

(a) Prove that the solution to the linear integral equationsolves

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Related Book For book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 09:02 AM

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(a) Prove that the solution to the linear integral equation solves the linear initial value problem du/dt...

Question:

11(1)=a+ | k(s) u(s) ds s)dS, (ii) 11(1) 1+2 su(s)ds, (İİİ) u(r)=3+ es 11(s)ds.

Step by Step Answer:

a Since a is constant by the ...View the full answer

Applied Linear Algebra

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