Question: For what positive values of k does the function y = sin(kt) satisfy the differential equation y + 100y= 0? For what negative values

For what positive values of k does the function y = sin(kt)

For what positive values of k does the function y = sin(kt) satisfy the differential equation y" + 100y= 0? For what negative values of k does the function y = cos(kt) satisfy the differential equation y" +100y=0?

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