Question: a. Show that y = sin x, y = cos x, and y = a cos x + b sin x (a and b constants)

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 full answer

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