olve the following initial-boundary value problemSolutionThe .pdf

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This document discusses solving an initial-boundary value problem using separation of variables. It states that the first step is to assume the solution can be separated into a function of x and a function of t, and then plug this assumed solution into the given partial differential equation to separate the variables.

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olve the following initial-boundary value problem:
Solution
The first thing we need to do here is separation of variables.
Let us assume that u(x,t) = f(x) g(t) and we plug this into the given partial differential equation.
Partial derivative of u wrt t is now a^2 dow^2u/dowx^2 - b(u-u0)

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