Solve the following problems using differential equation. a. A thermometer reading 75 °F is taken out where the temperature is 20 ° F. The reading is 30 ° F 4 min. later. Find: (a) The temperature reading 7 min. after the temperature was brought outside. (b) The time taken for the reading to drop from 75° F to within a half-degree of the air temperature.
Solve the following problems using differential equation. a. A thermometer reading 75 °F is taken out where the temperature is 20 ° F. The reading is 30 ° F 4 min. later. Find: (a) The temperature reading 7 min. after the temperature was brought outside. (b) The time taken for the reading to drop from 75° F to within a half-degree of the air temperature.
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:2.
Solve the following problems using differential equation.
a. A thermometer reading 75 ° F is taken out where the temperature is 20 ° F. The reading is
30 ° F 4 min. later.
Find:
(a) The temperature reading 7 min. after the temperature was brought outside.
(b) The time taken for the reading to drop from 75° F to within a half-degree of the air
temperature.
b. The conversion of a substance B follows the law used simple chemical converstion. If only
a fourth of the substance has been converted at the end of 10 sec., find when nine-tenths
of the substance will have been converted.
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