Wave Equation

• F ?S = ??x?2y/?t2 force = ma

• ?S/?x = (?/F)?2y/?t2

• as ?x => 0, ?S/?x = ?S/ ?x = ?/ ?x (?y/ ?x)= ?2y/?x2

• any function y=f(x-vt) or y=g(x+vt) satisfies this equation with

• v = (F/?)1/2

• y(x,t)= A sin(kx-?t) is a harmonic wave

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