1. Prove that the initial value problem r'(t)(sin(rt)t- a) = e', x(7/8) = 4 has a unique solution on some open interval containing t= T/8.
1. Prove that the initial value problem r'(t)(sin(rt)t- a) = e', x(7/8) = 4 has a unique solution on some open interval containing t= T/8.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Transcribed Image Text:1.
Prove that the initial value problem
a'(t)(sin(xt)t- ar) = e', r(/8) = 4
has a unique solution on some open interval containing t = T/8.
Hint. Use the Picard Lindelöf Theorem studied in the class. In order to verify the
Lipschitz condition, use the Mean Value Theorem on the variable r.
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