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11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential dA dt equation: =-.00003 (A-288.03) (A-961.97), where t is measured in years since 1957 with a CO₂ level in 1987 of 350.05 parts per million. (a) Use Euler's method with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (b) Use RK4 with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations.

11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential dA dt equation: =-.00003 (A-288.03) (A-961.97), where t is measured in years since 1957 with a CO₂ level in 1987 of 350.05 parts per million. (a) Use Euler's method with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (b) Use RK4 with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations.

Advanced Engineering Mathematics
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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dA 11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential -.00003 (A - 288.03) (A - 961.97), where t is measured in years since 1957 with a CO₂ level in 1987 of 350.05 parts per million. equation: dt (a) Use Euler's method with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (b) Use RK4 with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (c) Examine the differential equation and determine the maximum CO₂ levels this logistic model predicts.
Transcribed Image Text:dA 11. Suppose the CO₂ levels in the atmosphere (in ppm) can be modeled by the differential -.00003 (A - 288.03) (A - 961.97), where t is measured in years since 1957 with a CO₂ level in 1987 of 350.05 parts per million. equation: dt (a) Use Euler's method with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (b) Use RK4 with h = 4 years to approximate the CO₂ levels in 1991 and in 2007. You may use a spreadsheet to assist with the calculations. (c) Examine the differential equation and determine the maximum CO₂ levels this logistic model predicts.
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