In these exercises, do not make a reduction to homogeneous boundary conditions. Solve

Chapter 8, Problem 8.4.1

(choose chapter or problem)

In these exercises, do not make a reduction to homogeneous boundary conditions. Solve the initial value problem for the heat equation with time-dependent sources u t = k 2u x2 + Q(x, t) u(x, 0) = f(x) subject to the following boundary conditions: (a) u(0, t) = A(t), u x(L, t) = B(t) *(b) u x(0, t) = A(t), u x(L, t) = B(t)

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