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...

Using half range Fourier series

Extracted 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. dx² ' ðy² Find the steady state temperature u(x, y), by assuming the solution to be of the form u(x, y) = (AeP* +Be-p*)(C cos py + D sin py). ха-