Question
Transcribed Text
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.
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4. Write down the resulting eigenvalues An and the resulting eigenfunctions Xn (x)
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