Aligning 3 Columns In LaTeX Eqnarray
Answer :
You should avoid eqnarray. See \eqnarray vs \align.
I'd recommend using align or alignat from amsmath package:

Both align and alignat provide pairs of rl alignment columns. So, I used a && before the \Leftrightarrow assuming that the next column was to be right aligned.
Code:
\documentclass{article} \usepackage{amsmath} \begin{document}\noindent Using \verb|align|: \begin{align} \int ( D \frac{d^2 P(x)}{dx^2}-\frac{d}{dx}[u(x)P(x)] ) &= \int 0 &&\Leftrightarrow \\ D \frac{d}{dx} P(x) - u(x)P(x) &= C &&\Leftrightarrow \\ D \frac{d}{dx} P(x) - K_0P(x) - \frac{K_1}{x}P(x) &= C &&\Leftrightarrow \\ \frac{dP(x)}{dx} - k_0P(x) - \frac{k_1}{x} P(x) &= C, \end{align} Using \verb|alignat|: \begin{alignat}{4} \int ( D \frac{d^2 P(x)}{dx^2}-\frac{d}{dx}[u(x)P(x)] ) &= \int 0 &&\Leftrightarrow \\ D \frac{d}{dx} P(x) - u(x)P(x) &= C &&\Leftrightarrow \\ D \frac{d}{dx} P(x) - K_0P(x) - \frac{K_1}{x}P(x) &= C &&\Leftrightarrow \\ \frac{dP(x)}{dx} - k_0P(x) - \frac{k_1}{x} P(x) &= C, \end{alignat} \end{document} The equationarray doesn't allow more than 3 columns, but you can get what you want with the array environment.
\[ \begin{array}{cccc} \int ( D \frac{d^2 P(x)}{dx^2}-\frac{d}{dx}[u(x)P(x)] ) & = & \int 0 & \Leftrightarrow \\ D\frac{d}{dx} P(x) - u(x)P(x) & = & C & \Leftrightarrow \\ D\frac{d}{dx} P(x) - K_0P(x) - \frac{K_1}{x}P(x) & = & C & \Leftrightarrow \\ \frac{dP(x)}{dx} - k_0P(x) - \frac{k_1}{x} P(x) & = & C &, \end{array} \] 
If you dont like the alignment obtained you can modify it for example replacing {cccc} with {rclr}, or whatever you prefer.
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