Explanation Given: The given initial value problem is d y d x = ( y − 1 ) 2 , y ( 0 ) = 1.01 . Calculation: Separate the variables of the given initial value problem. d y d x = ( y − 1 ) 2 d y ( y − 1 ) 2 = d x (1) Integrate equation (1). ∫ d y ( y − 1 ) 2 = ∫ d x − 1 y − 1 = x + C − 1 x + C = y − 1 y = − 1 x + C + 1 (2) Substitute 0 for x and 1.01 for y in equation (2). 1.01 = − 1 0 + C + 1 1.01 − 1 = − 1 C 0.01 = − 1 C C = − 1 0

6th Edition

ISBN: 9781284127003

Author: ZILL

Publisher: JONES+BARTLETT LEARNING,LLC (CC)

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Chapter 2.2, Problem 40E

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An explicit solution of the given initial value problem and to plot the graph of the solution of given initial value problem.

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Chapter 2.2, Problem 39E

Chapter 2.2, Problem 41E

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An explicit solution of the given initial value problem and to plot the graph of the solution of given initial value problem.

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An explicit solution of the given initial value problem and to plot the graph of the solution of given initial value problem.

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Chapter 2 Solutions