Earth’s atmospheric pressure p is oftenmodeled by assuming that the rate dp/dh at which p changeswith the altitude h above sea level is proportional to p. Supposethat the pressure at sea level is 1013 millibars (about 14.7 poundsper square inch) and that the pressure at an altitude of 20 km is90 millibars. Solve the initial value problemDifferential equation: dp/dh = kp (k a constant)Initial condition: p = p0 when h = 0to express p in terms of h. Determine the values of p0 and kfrom the given altitude-pressure data.

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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.