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

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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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).
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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