At time 0, M is deposited into Fund X, which accumulates at a force of interest δt =0.006t2. At time m, 2M is deposited into Fund Y, which accumulates at an annual effective rate of 10%. At time n, where m > m, the accumulated value of each fund is 4M. Determine m.

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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.