A 190'F bottle of milk left in 60 F room. At time initially the milk is cooling at 4 'F per minute. Write an initial value problem (differential equation with initial condition) and what is the temperature of bottle of milk after I hour? How long does it take for milk to cool to 100-F?

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Q: The population y(t) grows continuously and follows an exponential behavior over time. Its…

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Q: A small cannonball with mass 9 kilograms is shot vertically upward with an initial velocity of 130…

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Q: A tank initially contains 200 L of pure water. Salt enters into the solution constantly 5 kilograms…

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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.