Unformatted text preview: q ( x ) is continuous for x 6 = 0. • g ( x ) is continuous for x 6 = 0, ± π 2 , ± 3 π 2 ... . The three functions p ( x ), q ( x ) and g ( x ) are all continous on the open interval (0 , π 2 ), which contains x = 1. The Theorem implies that the IVP has a unique solution on the open interval (0 , π 2 ). 1...
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 Spring '08
 TUNCER
 Topology, Continuous function, Metric space, open interval

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