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Consider the equation n² = with the following boundary conditions. X (0)+X'(0)=0, = and X(n) + X'(n) = = 0. 1. Write down the general solution to the equation for X(x) 2. Write down the result of applying the boundary condition X(0) + X' (0) = 0 to the general solution. 3. Write down the result of applying the remaining boundary condition X(n) + X'(n) = 0 to the general solution. - 4. Write down the resulting eigenvalues An and the resulting eigenfunctions Xn (x)

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