Let's suppose that N1 (t) is the number of nuclei of the original radioactive nuclide (the mother) as a function of the time and that , is its decay constant. Let's also suppose that: N; (t) is the number of nuclei of the radioactive product (the daughter) as a function of time and that , is its decay constant. The differential equations governing this dN,(1) =-1,N,(1)+ ,N,(t). If N,(t) = Noe, then find the solution dt situation is as for N,(t) by considering the initial value of N,(t) is zero at t=0. (CLO-2, PLO-3)

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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.