Linear differential equations

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Related lectures (45)

General Solution of Homogeneous Differential Equations Log in to Mediaspace to watch this video

Explores the theory of solutions for linear differential equations, covering uniqueness, variation of constants, and non-uniqueness.

Linear Differential Equations with Constant Coefficients Log in to Mediaspace to watch this video

Explores linear differential equations with constant coefficients and roots implications in determining solutions.

Linear Independence: Definition and Examples Log in to Mediaspace to watch this video

Explores the concept of linear independence in vector spaces through definitions and illustrative examples.

Cauchy-Lipschitz Theorem Log in to Mediaspace to watch this video

Explores the Cauchy-Lipschitz theorem for ODE solutions and linear transformations.

Homogeneous Equations: Advanced Analysis II Log in to Mediaspace to watch this video

Explores second-order linear scalar homogeneous equations in advanced analysis II.

General Solution of EOLI in Homogeneous Log in to Mediaspace to watch this video

Covers the general solution of EOLI in homogeneous and explores linear applications and identity functions.

Linear Applications: Matrices and Spaces Log in to Mediaspace to watch this video

Covers linear applications, matrices, and vector spaces, emphasizing the concept of linear independence.

Linear-second-order-odes Log in to Mediaspace to watch this video

Covers the solution of linear second-order ODEs with constant coefficients and particular solutions.

Linear Differential Equations Log in to Mediaspace to watch this video

Covers the resolution of linear differential equations, focusing on equations of order n and constant coefficients.

Ordinary differential equations Log in to Mediaspace to watch this video

Introduces ordinary differential equations of higher order and their solutions with initial conditions.

Advanced Analysis II: Differential Equations Log in to Mediaspace to watch this video

Explores Lipschitz conditions in differential equations and their implications on solutions and properties.

Adelic Number Theory Log in to Mediaspace to watch this video

Explores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.

Separable Differential Equations Log in to Mediaspace to watch this video

Explores the theorem of existence and uniqueness for differential equations and the method to find the general solution.

Characteristic Polynomials and Solutions Log in to Mediaspace to watch this video

Covers characteristic polynomials, roots, and associated solutions for differential equations.

Solving Differential Equations: Separable Equations Log in to Mediaspace to watch this video

Covers the method of separation of variables to find the general solution of differential equations.

Differential Equations: Modeling Physical and Biological Phenomena Log in to Mediaspace to watch this video

Covers differential equations and their applications in modeling various phenomena.

Solving Differential Equations with Bernoulli's Equation Log in to Mediaspace to watch this video

Covers solving differential equations using Bernoulli's equation and variable transformations to simplify linear inhomogeneous forms.

Linear Algebra: Vector Spaces and Linear Independence Log in to Mediaspace to watch this video

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Green's Function: Theory and Applications Log in to Mediaspace to watch this video

Covers the theory and applications of Green's function in solving differential equations.

Inverse Laplace Transform and Cauchy Problem Log in to Mediaspace to watch this video

Introduces the inverse Laplace transform and the Cauchy problem for ordinary differential equations, emphasizing the importance of verifying the obtained results.

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