For what nonzero values of k does the function y=sin(kt) satisfy the differential equation y'' + 9y = 0?
Last edited by mr fantastic; October 21st 2009 at 06:16 PM. Reason: Restored deleted question
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Originally Posted by jamessmith For what nonzero values of k does the function y=sin(kt) satisfy the differential equation y'' + 9y = 0? And so And you can solve that for k right?
Originally Posted by jamessmith For what nonzero values of k does the function y=sin(kt) satisfy the differential equation y'' + 9y = 0? Do you know how to get started? First just find the derivatives of y. So just substitute into the differential equation: so is one: is the other possible solution. Just find the k
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