If motion of an object obeys the wave equation, then it will display wave like behaviour. If you solve the wave equation, you get things like y = Asin [itex]\frac{2∏}{\lambda}[/itex](x - vt) which is a sinosodial wave. But from the second order differential equation v[itex]^{2}[/itex][itex]\frac{d^{2}y}{dx^{2}}[/itex] = [itex]\frac{d^{2}}{dt^{2}}[/itex] how can you tell intuitively that it describes something like a wave?(adsbygoogle = window.adsbygoogle || []).push({});

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# Why does the wave equation support wave motion?

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