Verify that y = cos x and y = sin x are solutions of the DE y” + y = 0. Are any of the following functions solutions? (a) sin x - cos x, (b) sin (x + 3), (c) sin 2x. Justify your answers. Please explain your answer

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Verify that y = cos x and y = sin x are solutions of the DE y” + y = 0.

Are any of the following functions solutions?
(a) sin x - cos x,
(b) sin (x + 3),
(c) sin 2x.
Justify your answers.

Please explain your answer.

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