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1. ### Use finite difference method to solve for eigenvalue E

Use finite difference method to solve for eigenvalue E from the following second order ODE: - y'' + (x2/4) y = E y I discretize the equation so that it becomes yi-1 - [2 + h2(x2i/4)] yi + yi+1 = - E h2 yi where xi = i*h, and h is the distance between any two adjacent mesh points. This...
2. ### MATLAB Use finite difference method to solve for eigenvalue E in Matlab

Use finite difference method to solve for eigenvalue E from the following second order ODE: - y'' + (x2/4) y = E y I discretize the equation so that it becomes yi-1 - [2 + h2(x2i/4)] yi + yi+1 = - E h2 yi where xi = i*h, and h is the distance between any two adjacent mesh points. This is my...
3. ### Mathematica Mathematica 8.0 - solve two recursive relations

Hi, all! I have trouble by using Mathemtica to solve the following problem as shown on the attachment. You see that the two recursive relations depend one another. I plan to write a "For" loop to evaluate E, instead of using Rsolve (a build-in function in Mathematica), however, I am very new...
4. ### Why does Chi-square formula have two different ones?

One is: http://en.wikipedia.org/wiki/Chi-squared_distribution where at the bottom of the page, chi-square = sum of something devided by variance. However, here: http://www.napce.org/documents/research-design-yount/23_chisq_4th.pdf [Broken] where the chi-square formula is that the sum...