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Three problems in radioactive buildup and decay are presented and solved. Matrices are introduced for the solution of the second problem, and the third example deals in a simple way with flux depression.

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An analog solution was obtained for the Nernst-Planck and Poisson equations which describe the ion concentration across a simple membrane held at a potential difference V. These equations constitute a nonlinear system of differential equations. It was learned that even though electroneutrality was assumed as a boundary condition, it did not hold within the membrane itself. The electric field variation within the membrane was also determined.

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