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Use Python to solve each problem. Thanks. 2. Consider the differential equation 4y + 25y = 0. (a) For what values of k would the

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Use Python to solve each problem. Thanks.

image text in transcribed
2. Consider the differential equation 4y" + 25y = 0. (a) For what values of k would the function y = cos(kt) be a solution to the differential equation? (b) For those values of k, verify that every member of the family of functions y = Asin(kt) + B cos(kt) is also a solution

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