Scalar Linear Higher Order ODEs

Related lectures (22)

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Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Covers linear independence, bases, and coordinate systems with examples and theorems.

Explores linear differential equations of order n, including homogeneous and inhomogeneous equations, solutions, and linear independence.

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

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

Introduces the Gram-Schmidt algorithm, QR factorization, and the method of least squares.

Explores linearly independent solutions in quadratic equations and the role of constants in trigonometric solutions.

Covers the properties and criteria of linear dependence and independence in a vector space.

Explains kernel, image, and linear maps, illustrating concepts with examples.

Explores second-order linear ODEs, solutions uniqueness, and linear independence.