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It is 26 April 1986 and the Chernobyl nuclear reactor number 4 is out of control! The physics of the situation is complicated, but consider the following simplified model: The thermal power output P(t) of the reactor at time t is increasing at a rate proportional to P(t) itself, with an unknown constant of proportionality. 1. Write down and solve a differential equation for P(t). 2. The thermal power output was initially 200MW. This increased to 530MW after three seconds. Use this information to estimate the power output after 15 seconds.

It is 26 April 1986 and the Chernobyl nuclear reactor number 4 is out of control! The physics of the situation is complicated, but consider the following simplified model: The thermal power output P(t) of the reactor at time t is increasing at a rate proportional to P(t) itself, with an unknown constant of proportionality. 1. Write down and solve a differential equation for P(t). 2. The thermal power output was initially 200MW. This increased to 530MW after three seconds. Use this information to estimate the power output after 15 seconds.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
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It is 26 April 1986 and the Chernobyl nuclear reactor number 4 is out of control! The physics of the situation is complicated, but consider the following simplified model: The thermal power output P(t) of the reactor at time t is increasing at a rate proportional to P(t) itself, with an unknown constant of proportionality. 1. Write down and solve a differential equation for P(t). 2. The thermal power output was initially 200MW. This increased to 530MW after three seconds. Use this information to estimate the power output after 15 seconds.
Transcribed Image Text:It is 26 April 1986 and the Chernobyl nuclear reactor number 4 is out of control! The physics of the situation is complicated, but consider the following simplified model: The thermal power output P(t) of the reactor at time t is increasing at a rate proportional to P(t) itself, with an unknown constant of proportionality. 1. Write down and solve a differential equation for P(t). 2. The thermal power output was initially 200MW. This increased to 530MW after three seconds. Use this information to estimate the power output after 15 seconds.
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