Lectures related to Eigenfunctions and Continuous Bounded 1D Wave Equation

Explores the role of linear operators in Quantum Mechanics and linear algebra, emphasizing eigenvalues and basis transformations.

Explores basis transformation, eigenvalues, and linear operators in inner product spaces, emphasizing their significance in Quantum Mechanics.

Covers ordinary linear homogeneous differential equations of the second order with constant coefficients.

Explores linearly independent solutions in quadratic equations and the role of constants in trigonometric solutions.

Covers linear differential equations of higher order, defining them as linear if they can be rewritten in a specific form.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.