at 6 am you measure from the too of a dam to the water level and see it is 35 feet below the top of the dam. at 11:30 am you measure and it is 24 feet below the top. assuming this is a linear function at what time will it reach the top of the dam

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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.