question archive For what value or values of the parameter α does the equation y′′(t)+16y′(t)+αy(t)=0 Have solution of the form  y=c1?ert+c2?ert

For what value or values of the parameter α does the equation y′′(t)+16y′(t)+αy(t)=0 Have solution of the form  y=c1?ert+c2?ert

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For what value or values of the parameter α does the equation

y′′(t)+16y′(t)+αy(t)=0

Have solution of the form 

y=c1?ert+c2?ert

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