When the interest on an investment is compounded continuously, the investment grows at a rate that is proportional to the amount in the account. That is, if the amount present is P, then dP = kP dt where P is in dollars, t is in years, and k is a constant. If $110,000 is invested (when t = 0) and the amount in the account after 20 years is $299,011, find the function that gives the value of the investment as a function of t. (Round your value of k to two decimal places.) P = What is the interest rate on this investment? (Round your answer to the nearest whole number.) %

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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.