3. By using separation of variables, show that the solution for the follow- ing heat equation with mixed boundary condit

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3 By Using Separation Of Variables Show That The Solution For The Follow Ing Heat Equation With Mixed Boundary Condit 1 (86.61 KiB) Viewed 25 times

3. By using separation of variables, show that the solution for the follow- ing heat equation with mixed boundary condition is given by ди g² u Ət dr² - u(0, t) = 0, u(x,0) = 1, = 0<r <1, t> 0, u, (1, t) = 0, t> 0, 0<x< 1, 4 u(x, t) = Σ (2n-1)π n=1 sin (2n-1)πx (2-1²-² 2