A fund starts with a zero balance at time zero. The fund accumulates with a varying force of interest δt=2t/(t²+1)(t>0). A deposit of GHS100,000 is made at time 2. Calculate the number of years from the time of deposit for the fund to double.

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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.