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Differential Equations Lecture Work Solutions 105

Differential Equations Lecture Work Solutions 105 - a a...

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a a α Figure 34: Domain for problem 2 of 7.4 2. The analysis is more involved when the equation is NOT separable in coordinates suitable for the boundary. Only two nonseparable cases have been solved in detail, one for a boundary which is an isosceles right triangle. The function sin µ π x a sin ν π a y is zero along the x and y part of the boundary but is not zero along the diagonal side. However, the combination sin µ π a x sin ν π a y sin µ π a y sin ν π a x is zero along the diagonal if µ
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