A doll sold for $234 in 1979 and was sold again in 1988 for $479. Assume that the growth in the value V of the collector's item was exponential.   a) Find the value k of the exponential growth rate. Assume Vo=234. k=______ b) Find the exponential growth function in terms of t, where t is the number of years since 1979. V(t)=___________ c) Estimate the value of the doll in 2014. $________ d) What is the doubling time for the value of the doll to the nearest tenth of a year? ________years e) Find the amount of time after which the value of the doll will be $4171. _______years

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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.