Number of Certified Organic Farms in the United States, 2001–2008 Year Farms 2001 5,441 2002 5,806 2003 6,546 2004 6,528 2005 6,944 2006 7,854 2007 9,430 2008 10,728   Fit three trends: linear yt=       xt+ quadratic yt=   xt^2+   xt+  exponential yt=    e   x Use each of the three fitted trend equations to make numerical forecasts for the next three years. t      Linear   Quadratic   Exponential  9 10 11

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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.