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Show that for a wave travelling on a str...

Show that for a wave travelling on a string
`y_(max)/v_(max)=v_(max)/a_(max)` wher the symbols have usual meanings. Can we use componendo and dividendo taught in algebra to write
`(y_(max)+v_(max))/(y_(max)-v_(max))=(v_(max)+a_(max))/(v_(max)-a_(max))?

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