for every liter of water in a bucket there is initially dissolved 2 grams of salt. The bucket starts out with 10 liters if water. Beginning at time t=0, 5 liters of salt solution is added to the bucket every minute and 3 liter are drained every minute. The added salt solution has 3 g of salt dissolved in each liter of water. Write an initial value problem that models the rate of change of the amount of salt in the bucket with time. Do not solve the IVP

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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.