The quantity demanded x of a certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit price of $20 below $485, the quantity demanded increases by 500 units. The suppliers will not market any DVD players if the unit price is $350 or lower. But at a unit price of $525, they are willing to make available 2000 units in the market. The supply equation is also known to be linear. (a) Find the demand equation. p(x) =    (b) Find the supply equation. p(x) =  (c) Find the equilibrium quantity and the equilibrium price. equilibrium quantity =  equilibrium price =

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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.