The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present in a given sample. Half of the original number of radioactive nuclei has decayed over a period of 1500 years. a) What percentage of original radioactive nuclei will continue after 4500 years? b) In how many years will only 10% of the original number of radioactive nuclei remain?

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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.