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(Solved): Solve the heat equation (1) subject to the initial conditions: \\( \\begin{array}{l}\\text { 4. } \\ ...
Solve the heat equation (1) subject to the initial conditions:
\\( \\begin{array}{l}\\text { 4. } \\begin{array}{l}u(0, t)=0, \\quad u(\\pi, t)=0, \\quad t>0\\end{array} \\\\ \\qquad \\begin{array}{ll}u(x, 0) & =\\left\\{\\begin{array}{ll}x, & 00 \\)
Expert Answer
Using where represents the temperature distribution at position x and time t, and k is a positi...