Solve the differential equation using separation of variables. 
Definitions:
GDP Deflator
An economic measure that converts output measured at current prices into constant-dollar terms, helping to distinguish between real growth and inflation.
Inflation
The tempo at which the cost of general goods and services escalates, undermining the ability to purchase as time progresses.
Expenditures Approach
A method of computing a country's gross domestic product (GDP) by adding up total consumption, investment, government spending, and net exports.
GDP
Gross Domestic Product, a measure of the economic output of a country within a specified period of time.
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