dc Q2. Find the first three eigenvalues and corresponding eigenfunctions of the boundary-value problem dạy dy dy -4+41y

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dc Q2. Find the first three eigenvalues and corresponding eigenfunctions of the boundary-value problem dạy dy dy -4+41y = 0, y(0) = 0, (1) = 0. d.c2 dx [24 marks] You need to find the eigenvalues numerically from a transcendental equation. The Maple commands plot and fsolve may be helpful. If used, please include with your submission a description of how they were used. You are welcome to include pictures, however this is not required.