A ball at 1200K is allowed to cool down in air at an ambient temperature of 300K. Assuming heat is lost only due to radiation, the diferential equation for the temperature of the ball is given by de =-2.2067x10 "(e-81x10), 0) =1200K dt Find the temperature at t=480 geconds using Runge-Kutta 4 order method Assume a step size of =240 seconds.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A ball at 1200K is allowed to cool down in air at an ambient temperature
of 300K. Assuming heat is lost only due to radiation, the diferential
equation for the temperature of the ball is given by
de
=-2.2067x10 "(e-81x10), 0) =1200K
dt
Find the temperature at t=480 geconds using Runge-Kutta 4 order method
Assume a step size of =240 seconds.
Transcribed Image Text:A ball at 1200K is allowed to cool down in air at an ambient temperature of 300K. Assuming heat is lost only due to radiation, the diferential equation for the temperature of the ball is given by de =-2.2067x10 "(e-81x10), 0) =1200K dt Find the temperature at t=480 geconds using Runge-Kutta 4 order method Assume a step size of =240 seconds.
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