Sketch the nodal set of the eigenfunctionv(x, y)=sin3x sin
Chapter 10, Problem 2(choose chapter or problem)
Sketch the nodal set of the eigenfunctionv(x, y)=sin3x sin y+sin x sin3y inthesquare(0,)2.(Hint: Use formulas for sin 3x and sin 3y together with factorization to rewrite it as v(x, y)=2 sin x sin y (32 sin2 x2 sin2 y).)
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