Problem 4 The temperature (0) of a hot spherical ball that is cooling changes as a function of time according to the equation: de -10*(o² – 81) dt If the initial temperature of the ball is 1000 C and the units of time is minutes. Determine the temperature of the ball after 100 minutes.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Required Concepts: Solving simple ODEs by identifying appropriate boundary conditions

Problem 4
The temperature (0) of a hot spherical ball that is cooling changes as a function of time according
to the equation:
de
---10(e? -81)
dt
If the initial temperature of the ball is 1000 C and the units of time is minutes. Determine the
temperature of the ball after 100 minutes.
Transcribed Image Text:Problem 4 The temperature (0) of a hot spherical ball that is cooling changes as a function of time according to the equation: de ---10(e? -81) dt If the initial temperature of the ball is 1000 C and the units of time is minutes. Determine the temperature of the ball after 100 minutes.
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