Explanation Given: The differential equation is d y d x = 1 y − 3 . Calculation: Differentiate the given differential equation. d 2 y d x 2 = − 1 ( y − 3 ) 2 d y d x … … ( 1 ) Substitute 1 y − 3 for d y d x in equation (1) To determine (b) The explicit solution of given differential equation with exact interval of definition.

6th Edition

ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Differential Equations

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Chapter 2.2, Problem 44E

To determine

(a)

The value of d2ydy2 for the given differential equation and determine the values of y where the solution curve is concave up and concave down.

To determine

(b)

The explicit solution of given differential equation with exact interval of definition.

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Chapter 2.2, Problem 43E

Chapter 2.2, Problem 45E

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(a) The value of d 2 y d y 2 for the given differential equation and determine the values of y where the solution curve is concave up and concave down.