13. A population increases according to the exponential growth law y= 4e", where y is in thousands and t is in years. a) Match each of the questions (i), (ii), (ii), and (iv) with one of the solutions (A), (B), (C), and (D). (i) How long will it take for the population to double? (A) Solve 4" -6 for t. (ii) When will the population reach 6 thousand? (B) Evaluate 4 (iii) How large will the population be in 6 months? (C) Solve 4-8 for t. (iv) How large will the population be in 6 years? (D) Evaluate 4. b) Solve the equation associated with answer (A), rounding your answer to the nearest .01.

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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.