Please show each step of your solution. When you use theorems, definitions, etc., please include in your answer.
6. In each case solve (1) with boundary conditions (1b) changed as indicated, and for the specified f(x). Use a half- or quarter-range cosine or sine expansion, as appropriate...
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This shows how to solve equations with given boundary conditions using half- and quarter-range sine and cosine expansion, evaluate expansion coefficients, and identify the stead-state solution.