The conditions of Picard's Theorem may fail at a given point for a differential equation, but the
Question:
(a) Show that the uniqueness condition for Picard's Theorem does not apply to the differential equation dy/dt = |y| when y = 0
(b) Find the general solution of the differential equation (5), and verify that the only solution with initial condition y(0) = 0 is y(t) = 0, thus showing that negation of the hypothesis does not insure negation of the conclusion
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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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