With Social Security Administration data from 1995 and projected to 2070, the billions of dollars G of

Question:

With Social Security Administration data from 1995 and projected to 2070, the billions of dollars G of gross domestic product (GDP) can be modeled by dG/dt = 0.05317G, G(15) = 12,145 where t is the number of years past 1990 (and thus G(15) is the GDP in 2005).
(a) Find the particular solution to this differential equation.
(b) The Social Security Administration's forecast for the 2020 GDP is $27,683 billion. What does the model predict for the 2020 GDP?