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Hint: k=0 is also a solution

Find all values of k for which the function y=sin(kt) satisfies the differential equation y'' + 9 y = 0. Separate your answers by commas.
Hint: k=0 is also a solution
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Hint: k=0 is also a solution Solution: The second derivative of y is: y' = kcos(kt) y'' = k^2 sin(kt) Therefore, plug that into the equation: k^2 sin(kt) + 9sin(kt) = 0 factor out the sin:...

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