One of the questions on our latest Climate Dynamics homework asked us to solve a simple linear ordinary differential equation. I did it by hand initially, but was happy to get the same answer out of Maple. The equation described the time dependent global energy balance in terms of heat capacity C, Temperature T, Forcing F, time t, and a climate sensitivity parameter lambda, that is calculated using the reference climate sensitivity and a feedback factor.

C T’+Tλ=F

All I had to do was type this equation into the Maple workspace, then right-click for a context menu. From the context menu, I chose to specify initial conditions (in our case Temperature at time=0 is 0). This generated a second representation of the equation, this time followed by the IC. Next, I just right clicked on the second equation, chose “solve DE”, and hey presto, there is was.

Next, I want to figure out how to define variables and plot it. I don’t think it will be too hard, but I have class soon…