Boundary-Value Problems

Published: 04 November 2024
on channel: Dr Peyam
2,014
111

Boundary-Value Problems

We solve the following boundary value problem: Find all lambda for which y'' = lambda y with 0 boundary conditions has a nonzero solution. This technique involves 3 cases, depending on the roots of the auxiliary equation and features exponentials and trigonometric functions. It is extremely useful for solving partial differential equations, namely using separation of variables for the heat, wave, and laplace equation.

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