Boyle's law for enclosed gases states that if the volume is kept constant, the pressure P and temperature T are related by the equation P where k is a constant. If the temperature is increasing at 3 kelvins per hour, what is the rate of change of pressure when the temperature is 250 kelvins and the pressure is 500 pounds per square inch? The rate of change of pressure is (Simplify your answer.) pounds per square inch per hour.

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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.