Advanced analysis II: second order linear ODEs

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

Covers second-order linear homogeneous differential equations and their solutions.

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.