The sine function sin x has the property that the square of itself plus the square of

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The sine function sin x has the property that the square of itself plus the square of its derivative is identically equal to one. Find the most general function that has this property.
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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