Q2 A rod of length 2 m is fully insulated along its sides. The temperature at x is initially TX 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 2. ốt 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. (а) (b) Solve the particular solution for the general solution obtained from the Q2 (a).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q2
A rod of length 2 m is fully insulated along its sides. The temperature at x is initially
ITX
°C, and at t =0, the ends are dipped into cold water and held at temperature
2
100 sin
of 0°C. If the heat equation given as
ди
и
2.
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.
(а)
(b)
Solve the particular solution for the general solution obtained from the Q2 (a).
Transcribed Image Text:Q2 A rod of length 2 m is fully insulated along its sides. The temperature at x is initially ITX °C, and at t =0, the ends are dipped into cold water and held at temperature 2 100 sin of 0°C. If the heat equation given as ди и 2. 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. (а) (b) Solve the particular solution for the general solution obtained from the Q2 (a).
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