A thermometer is taken out of a room at 64 ° F, outside where the temperature is at 8 ° F. After 3/10 of a minute the thermometer reads 52 ° F. How many minutes of time will it take the thermometer to reach 10 ° F? They assume that the speed with which the temperature changes is proportional to the difference between the temperature of the thermometer and the constant temperature of the surrounding medium.

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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.