Differential Equations: Basic Concepts

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

Covers the application of Laplace transform to LTI Systems, including examples and differential equations.

Explores solving linear differential equations and the principle of superposition with illustrative examples.

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.

Covers the correction of an exam from 2018, focusing on Taylor polynomials and Jacobian matrices.

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.

Covers solutions of differential equations with initial conditions and boundedness concepts.

Covers the path integral representation of propagators for free particles and harmonic oscillators.

Discusses material points, forces, constraints, and mathematical expressions in physics.