An object, whose temperature is 100 degrees Fahrenheit is thrown into a swimming pool where the water is 50 degrees Fahrenheit. According to Newton's Law of cooling the rate at which the temperature of the object changes is proportional to the difference between the temprature of the object and the temprature of the water. (A) Write the differential equation for this problem and solve it  I know that the formula is dT/dt=K(T-Tm) How do I solve the differential equation? (B) It is observed that 5 seconds after the object enters the pool, the temprature of the object is 90 degrees Fahrenheit. When will the object's temprature be at 60 degrees Fahrenheit?

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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.