Differential Equations

Related lectures (29)

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Covers the existence and uniqueness of solutions for first-order differential equations and the superposition principle.

Discusses the Cauchy problem for ODEs with initial conditions and the importance of homeomorphism and Lipschitz continuity.

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Covers ordinary differential equations with separable variables and the conditions for unique solutions in EDOs.

Covers a vertical metronome's forces, angle equation, equilibrium positions, and stability.

Covers second-order linear differential equations, focusing on their solutions and the concept of linear independence among them.

Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.

Explores the existence and uniqueness of solutions for differential equations through local Lipschitz continuity and the Cauchy-Lipschitz theorem.

Covers cable structures analysis, equilibrium, and comparison with arches, including examples and exam preparation.