Consider the boundary value problem y + 4y + (4 + 9)y = 0, y(0) = 0, y (L) = 0. (a)

Chapter 11, Problem 18

(choose chapter or problem)

Consider the boundary value problem y + 4y + (4 + 9)y = 0, y(0) = 0, y (L) = 0. (a) Determine, at least approximately, the real eigenvalues and the corresponding eigenfunctions by proceeding as in 17(a, b). (b) Also solve the given problem directly (without introducing a new variable). Hint: In part (a) be sure to pay attention to the boundary conditions as well as the differential equation.

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