A differential equation is an equation involving an unknown function and its derivatives. Consider the differential equation

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A differential equation is an equation involving an unknown function and its derivatives. Consider the differential equation y"(t) + y(t) = 0.

a. Show that y = A sin t satisfies the equation for any constant A.

b. Show that y = B cos t satisfies the equation for any constant B.

c. Show that y = A sin t + B cos t satisfies the equation for any constants A and B.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Feb 08, 2019 12:26 PM

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A differential equation is an equation involving an unknown function and its derivatives. Consider the differential equation

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a yt Acos t yt Asin t so yt yt Asin t Asin t 0 fo...View the full answer

Calculus Early Transcendentals

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