8.26 Show that the IVP x" = –6x(x')³, x(-1) = -1, x'(-1) = , has a unique solution x and find the maximal interval of existence of x. Hint:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
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8.26 Show that the IVP a" = -6æ(x')³, x(-1) = -1, x'(-1) = }, has a
unique solution x and find the maximal interval of existence of x. Hint:
Look for a solution of the given IVP of the form x(t) = at®, where a and
B are constants.
Transcribed Image Text:8.26 Show that the IVP a" = -6æ(x')³, x(-1) = -1, x'(-1) = }, has a unique solution x and find the maximal interval of existence of x. Hint: Look for a solution of the given IVP of the form x(t) = at®, where a and B are constants.
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