Multiple choice

A function n(x) satisfied the differential equation $\frac{d^2 n(x)}{dx^2} - \frac{n(x)}{L^2}$ = 0 where L is a constant. The boundary conditions are: n(0) = K and n (∞) = 0. The solution to this equation is

  1. n(x) = K exp(x/L)
  2. n(x) = K exp(-x/$\sqrt{5}$)

  3. n(x) = K2 exp(-x/L)

  4. n(x) = K exp(-x/L)
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D Correct answer
Explanation

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