5th Edition

ISBN: 9780135988510

Author: Edwards

Publisher: PEARSON CO

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Textbook Question

Chapter 1.3, Problem 29P

Verify that if c is a constant, then the function defined piecewise by y ( x ) = { 0 for x ≤ _ c , ( x − c ) 3 for x > c satisfies the differential equation y ′ = 3 y 2 / 3 for all x. Can you also use the “left half” of the cubic y = ( x − c ) 3 in piecing together a solution curve of the differential equation? (See Fig. 1.3.25.) Sketch a variety of such solution curves. Is there a point ( a , b ) of the xy -plane such that the initial value problem y ′ = 3 y 2 / 3 , y ( a ) = b has either no solution or a unique solution that is defined for all x ? Reconcile your answer with Theorem 1.

$Chapter 1.3, Problem 29P, Verify that if c is a constant, then the function defined piecewise by y(x)={0forx_c,(xc)3forxc$

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Chapter 1.3, Problem 28P

Chapter 1.3, Problem 30P

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Chapter 1 Solutions

EP DIFF.EQUAT.+BOUND.VALUE,...UPD.-ACC.

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