Differential Equations 2. At a bank, continuous compounding means that interest is accrued at a rate that is a fixed percentage of the balance at the moment. A bank account earns interest compounded continuously at a rate 5% of the current balance per year. Assume that the initial deposit is 1000CAD, and that no other deposits or withdrawals are made. (a) Write the differential equation satisfied by the balance in the account. (b) Solve the differential equation and graph the solution.

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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.