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Elementary,Middle School,High School,College,University,PHD
| Teaching Since: | May 2017 |
| Last Sign in: | 339 Weeks Ago, 5 Days Ago |
| Questions Answered: | 19234 |
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MBA (IT), PHD
Kaplan University
Apr-2009 - Mar-2014
Professor
University of Santo Tomas
Aug-2006 - Present
Question description
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Show that the integral equation
x(t) = log(1 + t) + (1/5)(integral of e^(-t)cos^2(ts)(x(s))^2ds), integration going from 0 to 1
has a solution in C[0,1]. Justify your answer carefully.
Hint: Use the contraction mapping theorem. You may need to work with a suitable subset of C[0,1] rather than C[0,1]. Identifying such a subset is part of the problem.
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