Find all values of k for which the function y=sin(kt) satisfies the differential equation y''+16y=0. Separate your answers by commas. Anyone know what the values or are?
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y=sinkt y'=kcoskt y''=-k^2sinkt y''+16y=0 essentially (-k^2sinkt) = (-16sinkt) so k=+-4?????
ya and 0
Er 0 is a trivial case, actually...
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