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The equation of a transverse wave travel...

The equation of a transverse wave travelling along a string is `y(xt)=0.3sin(200x-0.5t)`
what is the equation of the reflected wave when it is reflected by
(i) A rigid boundary?
(ii) A free end?

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`y_(1)(x,t)=0.3sin(200x+0.5t+pi)`
`y_(2)(x,t)=0.3sin(200x+0.5t)`
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