Explanation Calculation: Assume the function y ( x ) such that, y 2 + ( d y d x ) 2 = 1 Write the assumed function as a differential equation form as follows, d y d x = ± 1 − y 2 Use the separation method for above differential equation, d y 1 − y 2 = ± d x Take integration on both sides, ∫ d y 1 − y 2 = ± ∫ d x sin

Differential Equations with Boundary-Value Problems (MindTap Course List)

9th Edition

ISBN: 9781305965799

Author: Dennis G. Zill

Publisher: Cengage Learning

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Chapter 2.2, Problem 55E

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A function whose square plus the square of its derivative is 1.

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Chapter 2.2, Problem 54E

Chapter 2.2, Problem 56E

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Chapter 2 Solutions

Differential Equations with Boundary-Value Problems (MindTap Course List)

Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - dydx=1xy (a) y(0) = 0 (b) y(1) = 0 (c) y(2) = 2...Ch. 2.1 - In Problems 14 reproduce the given...Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

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A function whose square plus the square of its derivative is 1 .

Solution Summary: The author explains that a function whose square plus the square of its derivative is 1 has two functions: y=mathrmsin(x+c) and

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A function whose square plus the square of its derivative is 1.

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Chapter 2 Solutions