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 a2u a2u ax2 ay2 Find the steady state temperature u(x, y), by assuming the solution to be of the form u(x, y) = (AePx + Be-px)(C cos py + D sin py). 0. %3D %3D
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 a2u a2u ax2 ay2 Find the steady state temperature u(x, y), by assuming the solution to be of the form u(x, y) = (AePx + Be-px)(C cos py + D sin py). 0. %3D %3D
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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