2. Assuming no withdrawals during the investment, how many years will it take for $500, invested at 2% yearly interest compounded continuously, to grow to $5000? Show all work. Express the answer as a numerical value, but without e and without In.

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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.