The Great Recession of 2007 - 2009 is largely attributed to the real estate crisis beginning in 2006, from which time the number of housing starts was approximately n(t) = 2400e^(−0.25t) − 200 thousand homes per year (0 ≤ t ≤ 4), where t is time in years since January 2006. Use the FTC to estimate, to the nearest 0.1 million, the total number of housing starts from January 2006 through June 2009. (The actual number was around 4.9 million homes.)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.