Previously we have verified a solution to a simple differential equation for the concentration of methane in the atmosphere under a constant emissions scenario. In the document “Differential Equations for the Concentration of Methane in the Atmosphere” (https://drive.google.com/file/d/1Yl5Cm-iHVRenuq6R1lHI4Y5cyQR-1l6j/view?usp=sharing), we go through this case, and explore more general scenarios such as a linearly increasing emissions rate.

In this article, we further explore the constant emissions scenario. We change up our notation a bit to follow Gilbert Strang in his book “Differential Equations and Linear Algebra”. Let a(t) be the rate of decay of methane in the atmosphere and q(t) be the…

Matthew Fulkerson

Just a former physicist turned applied mathemetician

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