"A population of snakes grows from being 300 to being 900 after 2 years. If the population is growing exponentially, find an exponential function of the form P(t) = Poekt that will determine the population of snakes after t years. Roundk to 4 decimal places." A student attempts to do this problem by doing the following: 300 = 900e2k =2k In(1/3) k = 2 = -0.5493 The population function is: P(t) = 900e-0.54931 What did the student do wrong, and what can be done to fix it?

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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.