Let C(t) be the concentration of a drug in the bloodstream. AS the body eliminates the drug, C(t) decreases at a rate that is proportional to the amount of the drug that is present at the time. Thus, C'(t) = kC(t). a. If Co is the concentration at time t = 0, find the concentration at time t. b. If the body eliminates half the drug in 30 hours, how long does it take to eliminate 90% of the drug.

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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.