A kinetic picture is presented from which follow the time-dependent Boltzmann equation in the relaxation-time approximation and an exact solution in the form of a kinetic integral. As a special case of the latter, one obtains Chambers' integral solution of the time-independent equation. Confusion in the literature regarding solutions of the exact versus linearized equations is clarified.
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C. J. MacCallum (1963) studied this question.
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