Weak Formulation of Linear Elliptic PDEs

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Covers the definition and solution of linear equations with real coefficients in 2D and 3D space.

Covers the resolution of linear equations, focusing on trigonometric equations and elementary concepts.

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

Covers first-order differential equations, including linear equations and applications in physics.

Covers the theoretical study of Elliptic Partial Differential Equations, including electrostatics and advection-diffusion-reaction equations.

Explores convolution properties, heat equation application, and Fourier transform on tempered distributions.

Explores the Bernoulli differential equation, historical context, solution methods, linear homogeneous equations, and examples.

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Explores population growth models and temperature variation equations, focusing on differential equations and solution methods.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.