At a unit price of $350, the quantity demanded of a certain commodity is 79 pounds. If the unit price increases to $720, the quantity demanded decreases by 37 pounds. Find the demand equation (assuming it is linear) where p is the unit price and x is the quantity demanded for this commodity in pounds. p =  At what price are no consumers willing to buy this commodity? According to the above model, how many pounds of this commodity would consumers take if it was free

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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.