For each of problem answer the following question a. Does picard's theorem apply to the given IVP
Question:
a. Does picard's theorem apply to the given IVP Explain
b. If your answer to part (a) is yes, is there a largest rectangle for which picard's conditions hold
c. If you answer to part (a) is no are there other initial condition y(t0) = y0 for which the answer would be yes? Try describing the set of all such points.
y' + ty = 1 , y (0) = 0
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a y f t y 1 ty y 0 0 Hence f y t The fact that f is continuous for all t tells us a solution exis...View the full answer
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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