A radioactive matierial decays according to the function A0e-0.0244t where A0 is the intial amount present and A is the amount present at a time t (in years). Assume that the scientist has a sample of 400 grams of the radioactive matierial. When will only 300 grams of the radioactive matierial be left? What is the half life of the radioactive matierial.

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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.