Problem 6.231

A radionuclide \(A_{1}\) goes through the transformation chain \(A_{1} \rightarrow A_{2} \rightarrow A_{3}\) (stable) with respective decay constants \(\lambda_{1}\) and \(\lambda_{2} .\) Assuming that at the initial moment the preparation contained only the radionuclide \(A_{1}\) equal in quantity to \(N_{10}\) nuclei, find the equation describing accumulation of the stable isotope \(A_{3}\).