A rod of length 2 m is fully insulated along its sides. The temperature at x is initially ITX 100 sin |°C, and at t = 0, the ends are dipped into cold water and held at temperature of 0°C. If the heat equation given as ди (a) By using the method of separation of variables, discover the expression for the temperature at any point at a distance x from one end at any subsequent time t second after t = 0.
A rod of length 2 m is fully insulated along its sides. The temperature at x is initially ITX 100 sin |°C, and at t = 0, the ends are dipped into cold water and held at temperature of 0°C. If the heat equation given as ди (a) By using the method of separation of variables, discover the expression for the temperature at any point at a distance x from one end at any subsequent time t second after t = 0.
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Transcribed Image Text:Q2 A rod of length 2 m is fully insulated along its sides. The temperature at x is initially
100sin
TX
°C, and at t = 0, the ends are dipped into cold water and held at temperature
of 0°C. If the heat equation given as
ди
(a) By using the method of separation of variables, discover the expression for
the temperature at any point at a distance x from one end at any subsequent
time t second after t = 0.
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