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Consider the solutions y₁ (x, t) = A cos(kx-ot) and y₂ (x, t) = A sin functions (kx-ot). Show that the sum of these wave Y3 (x, t) = y₁ (x, t) + y₂ (x, t) Уз is a solution to the wave equation.

Consider the solutions y₁ (x, t) = A cos(kx-ot) and y₂ (x, t) = A sin functions (kx-ot). Show that the sum of these wave Y3 (x, t) = y₁ (x, t) + y₂ (x, t) Уз is a solution to the wave equation.

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Consider the solutions y1 (x, t) = A cos (kx − ωt) and y2 (x, t) = A sin (kx − ωt) . Show that the sum of these wave functions

Consider the solutions y₁ (x, t) = A cos(kx-ot) and y₂ (x, t) = A sin(kx-ot). Show that the sum of these wave functions Y3 (x, t) = y₁ (x, t) + y₂ (x, t) is a solution to the wave equation.
Transcribed Image Text:Consider the solutions y₁ (x, t) = A cos(kx-ot) and y₂ (x, t) = A sin(kx-ot). Show that the sum of these wave functions Y3 (x, t) = y₁ (x, t) + y₂ (x, t) is a solution to the wave equation.
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