Radioactive Decay Radium 226 is a radioactive substance with a decay constant .00043. Suppose that radium 226 is being continuously added to an initially empty container at a constant rate of 3 milligrams per year. Let P(t) denote the number of grams of radium 226 remaining in the container after t years. Find an initial-value problem satisfied by P(t). Solve the initial-value problem for P(t). What is the limit of the amount of radium 226 in the container as t tends to infinity?