Ordinary Differential Equations

Related lectures (28)

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Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

Covers the solution of a 2x2 system of differential equations using matrix notation and explores stability methods and specific cases.

Covers preliminary concepts in signals and systems, including linear systems invariant in time and stability.

Covers methods to solve linear differential equations in systems with initial conditions.

Explores the inverse power method for ODEs and the significance of Lipschitz continuity.

Covers the definition and properties of matrix norms and the exponential of matrices.

Covers systems of n linear first-order ODEs with constant coupling matrix A and explores properties of solutions and the superposition principle.

Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.

Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.

Covers the analysis of speed variation using differential equations and small time intervals.