Boundary value eigenvalue problem

A boundary value eigenvalue problem involves finding the various eigenfunctions that can satisfy boundary conditions. For example¹

𝑑 𝑦 𝑑 𝑥 + 𝜆 𝑦 = 0

with boundary conditions

𝑦 (0) = 0, 𝑦 (𝜋) = 0

has eigenfunctions of the form

𝑦 = s i n (𝑛 𝑥)

with eigenvalues $𝜆 = 𝑛 2$ .

Practice problems

#state/develop | #lang/en | #SemBr | #review