Carbon in the atmosphere is due to carbon dioxide (CO2) emissions from fossil-fuel burning and is considered to be a primary contributor to climate change. Using data from the Organization for Economic Cooperation and Development (OECD) for selected years from 1980 and projected to 2050, global CO2 emissions can be modeled by the differential equation dE/dt = 0.0164E where t is the number of years past 1980 and E is global CO2 emissions (in gigatons).
(a) Solve this differential equation and find a particular solution that satisfies E(0) = 18.5.
(b) Graph your solution and compare it with the following graph that shows OECD's data and projections.

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Global CO, Emissions: 1980–2050 60 50 40 30 20 10 + + 1980 1990 2000 2010 2020 2030 2040 2050 Gigatons of CO,