Solutions to differential equationsa. Show that y = sin x,

Chapter 3, Problem 4AAE

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QUESTION:

Problem 4AAE

Solutions to differential equations

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

b. How would you modify the functions in part (a) to satisfy the equation Generalize this result.

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QUESTION:

Problem 4AAE

Solutions to differential equations

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

b. How would you modify the functions in part (a) to satisfy the equation Generalize this result.

ANSWER:

Solution

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In this problem, we have to show that  all satisfying the equation .

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