Lectures related to Linear Differential Equations with Constant Coefficients

Covers linear differential equations of the second order with constant coefficients, focusing on solution methods for various discriminant cases.

Explores the principle of superposition in differential equations and the fundamental theorem of algebra.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Explores properties and solutions of scalar linear higher order ODEs with x-dependent coefficients and constant coefficients.

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

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Explains linear independence, basis, and matrix rank with examples and exercises.