1)Consider the simplest linear model of the increment T to the Earth’s mean surface temperature arising from a forcing Q and a feedback factor, :
where C is the effective heat capacity of the climate system. Assume a linearly increasing radiative forcing, Q = b.t, where t is the time in years from 1850.C. + T = Q
a)Write-down an equation for the equilibrium temperature change that would arise from stabilising forcing at each time t.
b) Assuming T=0at t=0, solve the simplest linear model equation to give the dynamical temperature change as a function of t, C, and b.
I can do a) and i get = b.t/
i try b) and i get =A
and =B.b.t therefore giving me CBb+ Bbt=bt
therefore = A +
and =0 and t=0
Therefore A = 0
Therefore i get =
if any one could shed any light that would be useful