A thermometer reading 21°C is brought into an oven that has been preheated to a constant temperature. After half a minute, the thermometer reads 43 -C. If the temperature reached by the thermometer after being in the oven for 1 minute is 63 •C: (a) Write a differential equation and the conditions to determine the temperature of the thermometer at any time t. (b) Determine the temperature equation for this problem. (c) Determine what temperature the oven is maintained at.
A thermometer reading 21°C is brought into an oven that has been preheated to a constant temperature. After half a minute, the thermometer reads 43 -C. If the temperature reached by the thermometer after being in the oven for 1 minute is 63 •C: (a) Write a differential equation and the conditions to determine the temperature of the thermometer at any time t. (b) Determine the temperature equation for this problem. (c) Determine what temperature the oven is maintained at.
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:A thermometer reading 21°C is brought into an oven that has been preheated to
a constant temperature. After half a minute, the thermometer reads 43 -C.
If the temperature reached by the thermometer after being in the oven for 1
minute is 63 •C:
(a) Write a differential equation and the conditions to determine the temperature
of the thermometer at any time t.
(b) Determine the temperature equation for this problem.
(c) Determine what temperature the oven is maintained at.
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