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A rectangular steel sheet is bounded by the axis x = 0, y = 0, x = a and y = b. The temperature along the edge x = 0 are kept at 100°C and other edges are at 0°C. Let u(x, y) denote the temperature satisfying the equation Q6. azu azu = 0. əx2 ay2 Find the steady state temperature u(x, y), by assuming the solution to be of the form u(x,y) = (AePx + Be-p*)(C cos py + D sin py).

A rectangular steel sheet is bounded by the axis x = 0, y = 0, x = a and y = b. The temperature along the edge x = 0 are kept at 100°C and other edges are at 0°C. Let u(x, y) denote the temperature satisfying the equation Q6. azu azu = 0. əx2 ay2 Find the steady state temperature u(x, y), by assuming the solution to be of the form u(x,y) = (AePx + Be-p*)(C cos py + D sin py).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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A rectangular steel sheet is bounded by the axis x = 0, y = 0, x = a and y = b. The temperature along the edge x = 0 are kept at 100°C and other edges are at 0°C. Let u(x, y) denote the temperature satisfying the equation Q6. azu a?u = 0. əx² ay2 Find the steady state temperature u(x, y), by assuming the solution to be of the form u(x, y) = (AePx + Be¯p*)(C cos py + D sin py).
Transcribed Image Text:A rectangular steel sheet is bounded by the axis x = 0, y = 0, x = a and y = b. The temperature along the edge x = 0 are kept at 100°C and other edges are at 0°C. Let u(x, y) denote the temperature satisfying the equation Q6. azu a?u = 0. əx² ay2 Find the steady state temperature u(x, y), by assuming the solution to be of the form u(x, y) = (AePx + Be¯p*)(C cos py + D sin py).
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