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

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By Using Separation Of Variables Show That The Solution For The Follow Ing Heat Equation With Mixed Boundary Condition 1 (41.13 KiB) Viewed 24 times

By using separation of variables, show that the solution for the follow- ing heat equation with mixed boundary condition is given by du J²u Ət Əx²¹ u(0, t) = 0, u(x,0) = 1, = 0<x<1, ur (1, t) = 0, 0<x< 1, 8 4 u(x, t) = Σ (2n − 1)π - sin t > 0, t> 0, (2n − 1)πx__(²n-1²-² - e 2