The air in a room with volume 180 m3 contains 0.3% carbon dioxide initially. Fresher air with only 0.05% carbon dioxide flows into the room at a rate of 2 m³/min and the mixed air flows out at the same rate. Find the percentage of carbon dioxide in the room as a function of time t (in minutes). p(t) = What happens with the percentage of carbon dioxide in the room in the long run? lim p(t) = %

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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.