Explanation Separate the variables of the given equation then integrate and obtain the solution. Use the initial condition given to obtain the value of the constant, to be used again in the solution. Given: y ' = ( x − 1 ) ( y − 2 ) , y ( 2 ) = 4 Calculation: Given y ' = ( x − 1 ) ( y − 2 ) , y ( 2 ) = 4 Hence, d y ( y − 2 ) = ( x − 1 ) d x Integrating, we get ∫ d y ( y − 2 ) = ∫ ( x − 1 ) d x

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 10.1, Problem 33E

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To solve the Initial Value Problem for the given criteria.

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Chapter 10.1, Problem 32E

Chapter 10.1, Problem 34E

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Chapter 10 Solutions

CALCULUS (CLOTH)

Ch. 10.1 - Prob. 1PQ Ch. 10.1 - Prob. 2PQ Ch. 10.1 - Prob. 3PQ Ch. 10.1 - Prob. 4PQ Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E

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To solve the Initial Value Problem for the given criteria.

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Chapter 10 Solutions