A radioactive isotope decays at a rate proportional to the amount of the isotope, in other words dAdt=kAdAdt=kA. The general solution to this differential equation is A=CektA=Cekt.The isotope Nobelium-259 has a half-life of 58 minutes.A) Determine the decay constant, k (Use 6 decimal places).    B) If there are 7.6 milligrams of the isotope at t = 0, how much will remain after 12 minutes?

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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.