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Step 2: Solve the
Step 3: Solve the temporal part
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![$\displaystyle T_n'(t) + \lambda_n T_n(t) = 0 \quad \Rightarrow \quad
T_n(t) = \exp\Big[-\lambda_n t\Big] = \exp\Big[-\Big(\frac{n\pi}{L}\Big)^2 t\Big].$](img10.svg)