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2. Solve the following heat equation subject to the given conditions. Ju = It u(0,t)=0; ux(1,t)=-u(1, t); u(x,0)=1 In addition to the series solution,

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2. Solve the following heat equation subject to the given conditions. Ju = It u(0,t)=0; ux(1,t)=-u(1, t); u(x,0)=1 In addition to the series solution, also provide the numerical values of the first 2 eigenvalues.

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