= Let y₁(x, t) = A₁ cos(k₁x - w₁t) and y₂(x, t) A2 cos(k₂x wat) be two solutions to the wave equation with the same wave speed v. Show that the superposed wave function y(x, t) = y₁(x, t) + y₂(x, t) is also a solution to the wave equation.
= Let y₁(x, t) = A₁ cos(k₁x - w₁t) and y₂(x, t) A2 cos(k₂x wat) be two solutions to the wave equation with the same wave speed v. Show that the superposed wave function y(x, t) = y₁(x, t) + y₂(x, t) is also a solution to the wave equation.
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Let y₁(x, t) A₁ cos(k₁x – w₁t) and y2(x, t) = A2 cos(k2x — w2t) be two solutions to the wave
equation with the same wave speed v. Show that the superposed wave function
y(x, t) = y₁(x, t) + y₂(x, t)
is also a solution to the wave equation.
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