Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition

14

First-order ordinary differential equations

14.1  A radioactive isotope decays in such a way that the number of atoms present at a given time, N(t), obeys the equation

If there are initially N₀ atoms present, find N(t) at later times.

This is a straightforward separable equation with a well known solution:

14.3  Show that the following equations ...