Ducks:In 2005, the duck population living at a lake was measured to be 100. In2010, the population was measured again and found to be 82. The duck population followsa linear model. 1A- Find a formula for the duck population,P(t), as a function of time. Let the startingyear be 2005. (B)-What does your model predict the duck population will be 2013? (C)-If the trend continues, in what year will there be no ducks living at the lake.

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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.