a. Show that y = sin x, y = cos x, and y = a cos x
Question:
a. Show that y = sin x, y = cos x, and y = a cos x + b sin x (a and b constants) all satisfy the equation y″ + y = 0.
b. How would you modify the functions in part (a) to satisfy the equation y″ + 4y = 0?
Generalize this result.
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ANSWER a To show that y sin x y cos x and y a cos x b sin x a and b constants all satisfy the equation y y 0 we need to take the second derivative of ...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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