Air Pressure Problem: The pressure of the air in the Earth's atmosphere decreases exponentially with altitude above the surface of the Earth. The pressure at the Earth's surface (sea level) is about 14.7 pounds per square inch (psi) and the pressure at 2000 feet is approximately 13.5 psi. Let y be the air pressure. Let x be the altitude. Find the particular equation expressing pressure in terms of altitude. Predict the pressure at: Mexico City (altitude 7500 ft) psi. Mount Everest (altitude 29,000 ft) psi. Where U-2 spy panes fly (altitude 80,000 ft) psi. The edge of space (defined by NASA to be 50 miles

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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.