Transcribed Image Text: A rectangular steel sheet is bounded by the axis x = 0,y = 0,x = a and y = b. The temperature
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
a?u a?u
+
= 0.
əx² ‘ ay²
Find the steady state temperature u(x, y), by assuming the solution to be of the form
и(х, у) 3 (Аерх + Be рх)(С соs py + D sin py).
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