The concentration of a drug in an organ at any time t (in seconds) is given by C(t)= .3t-18(1-e-t/60 ) 0<t<20           18e-t/60-12e-t-20/60 where C(t) is measured in grams per cubic centimeter (g/cm3).   a) What is the initial concentration of drug in the organ? (b) What is the concentration of the drug in the organ after 11 sec? (Round your answer to three decimal places.) (c) What is the concentration of the drug in the organ after 32 sec? (Round your answer to three decimal places.) (d) What will be the concentration of the drug in the long run?

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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.