Lectures related to Advanced analysis II: second order linear ODEs

Covers linear applications, matrices, transformations, and the principle of superposition.

Explores the Cauchy-Lipschitz theorem for ODE solutions and linear transformations.

Covers solution methods for linear differential equations of second order with constant coefficients.

Focuses on obtaining a second solution to a linear second-order ODE.

Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Explores the concept of linear independence in second-order equations using the Wronskian.