An initial sample of 258 g of a radioactive substance decays according to the function -0.022t A(t) = 258e where t is given in years. (a) How many grams of the substance will remain after 45 years? Round your answer to one decimal place. (b) What is the half-life of the substance? Round your answer to one decimal place.

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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.