Given that y = sin x is an explicit solution of the first order differential equation dy/dt

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Given that y = sin x is an explicit solution of the first order differential equation dy/dt = √ (1 – y²) Find an interval I of definition.

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A First Course in Differential Equations with Modeling Applications

ISBN: 978-1305965720

11th edition

Authors: Dennis G. Zill

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Question Posted: Jul 10, 2018 10:59 AM

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Given that y = sin x is an explicit solution of the first order differential equation dy/dt

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We first note that 1 y 2 1 sin 2 x cos 2 x cos x This prompts us t...View the full answer

A First Course in Differential Equations with Modeling Applications

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