Differential Equations Lecture Work Solutions 131

# Differential Equations Lecture Work Solutions 131 - 5 5.1...

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5 Separation of Variables-Nonhomogeneous Problems 5.1 Inhomogeneous Boundary Conditions Problems 1. For each of the following problems obtain the function w ( x, t ) that satisfies the boundary conditions and obtain the PDE a. u t ( x, t ) = ku xx ( x, t ) + x, 0 < x < L u x (0 , t ) = 1 , u ( L, t ) = t. b. u t ( x, t ) = ku xx ( x, t ) + x, 0 < x < L u (0 , t ) = 1 , u x ( L, t ) = 1 . c. u t ( x, t ) = ku xx ( x, t ) + x, 0 < x < L u x (0 , t ) = t, u
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