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Given: The following boundary value problem:    y"+ lamda*y = 0;                0 < x...

Given: The following boundary value problem:

   y"+ lamda*y = 0;                0 < x < 2;         y(0) = 0;          y’(2) = 0

  1. Find corresponding eigenvalues, (lamda)n and normalized eigenfunctions yn
  2. Expand the function f(x) = x, in terms of the eigen functions obtained in (i)
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