T̲h̲e̲ ̲p̲o̲s̲i̲t̲i̲o̲n̲ ̲o̲f̲ ̲a̲ ̲c̲e̲r̲t̲a̲i̲n̲
̲s̲p̲r̲i̲n̲g̲-̲m̲a̲s̲s̲ ̲s̲y̲s̲t̲e̲m̲ ̲s̲a̲t̲i̲s̲f̲i̲e̲s̲ ̲t̲h̲e̲
̲f̲o̲l̲l̲o̲w̲i̲n̲g̲ ̲I̲V̲P̲
̲
̲3̲ /2̲ ̲ ̲x̲″̲ ̲+̲ ̲α̲x̲ ̲ ̲=̲ ̲ ̲0̲,̲ ̲ ̲ ̲ ̲ ̲x̲(̲0̲)̲ ̲ ̲=̲ ̲
̲2̲,̲ ̲ ̲ ̲ ̲x̲′̲(̲0̲)̲ ̲ ̲=̲ ̲ ̲β̲.̲
̲
̲I̲f̲ ̲t̲h̲e̲ ̲p̲e̲r̲i̲o̲d̲ ̲a̲n̲d̲ ̲a̲m̲p̲l̲i̲t̲u̲d̲e̲ ̲o̲f̲
̲t̲h̲e̲ ̲r̲e̲s̲u̲l̲t̲i̲n̲g̲ ̲m̲o̲t̲i̲o̲n̲ ̲a̲r̲e̲ ̲o̲b̲s̲e̲r̲v̲e̲d̲
̲t̲o̲ ̲b̲e̲ ̲8̲π̲ ̲a̲n̲d̲ ̲3̲,̲ ̲r̲e̲s̲p̲e̲c̲t̲i̲v̲e̲l̲y̲,̲
̲d̲e̲t̲e̲r̲m̲i̲n̲e̲ ̲t̲h̲e̲ ̲e̲x̲a̲c̲t̲ ̲v̲a̲l̲u̲e̲s̲ ̲(̲n̲o̲t̲
̲a̲p̲p̲r̲o̲x̲i̲m̲a̲t̲i̲o̲n̲s̲)̲ ̲o̲f̲ ̲α̲ ̲a̲n̲d̲ ̲β̲,̲
̲a̲s̲s̲u̲m̲i̲n̲g̲ ̲t̲h̲a̲t̲ ̲α̲ ̲ ̲>̲ ̲ ̲0̲ ̲a̲n̲d̲ ̲β̲
̲ ̲>̲ ̲ ̲0̲.̲
̲
̲E̲n̲t̲e̲r̲ ̲t̲h̲e̲ ̲v̲a̲l̲u̲e̲s̲ ̲o̲f̲ ̲α̲ ̲a̲n̲d̲ ̲β̲ ̲(̲i̲n̲
̲t̲h̲a̲t̲ ̲o̲r̲d̲e̲r̲)̲ ̲i̲n̲t̲o̲ ̲t̲h̲e̲ ̲a̲n̲s̲w̲e̲r̲ ̲b̲o̲x̲
̲b̲e̲l̲o̲w̲,̲ ̲s̲e̲p̲a̲r̲a̲t̲e̲d̲ ̲w̲i̲t̲h̲ ̲a̲ ̲c̲o̲m̲m̲a̲.̲
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