5. Use the Fundamental Theorem of Calculus to show that the function u = u(t) is a solution to the initial value problem a' = f(t, x) x(to) = xo, if and only if u is a solution to the integral equation x(t) = xo + | f(s, 2(s)) ds.
5. Use the Fundamental Theorem of Calculus to show that the function u = u(t) is a solution to the initial value problem a' = f(t, x) x(to) = xo, if and only if u is a solution to the integral equation x(t) = xo + | f(s, 2(s)) ds.
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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I asked this previously but the expert didn't actually answer my question, I'm specifically asking how u=u(t) works into the answer, also how to go from f(t,x) to f(s,x(s). Thank you!
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