Q2 A rod of length 2 m is fully insulated along its sides. The temperature at x is initially TX °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 20% 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) (b) Solve the particular solution for the general solution obtained from the Q2 (a).
Q2 A rod of length 2 m is fully insulated along its sides. The temperature at x is initially TX °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 20% 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) (b) Solve the particular solution for the general solution obtained from the Q2 (a).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
TX
100 sin
°C, and at t= 0, the ends are dipped into cold water and held at temperature
2
of 0°C. If the heat equation given as
ди
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)
(b)
Solve the particular solution for the general solution obtained from the Q2 (a).
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