The balance A (in dollars) in a savings account is given by  A = 7000e0.07t,  where t is measured in years. Find the rate at which the balance is changing when t = 1 year, t = 10 years, and t = 50 years. (Round your answers to two decimal places.) (a)    t = 1 year $  per year (b)    t = 10 years $  per year (c)    t = 50 years $  per year

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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.